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Finding the Third Proportional to 12,785,297,685,813 and 18,472,547,279,209

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Solution

The third proportional to 12,785,297,685,813 and 18,472,547,279,209 is: 26,689,640,817,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785,297,685,813 : 18,472,547,279,209 = 18,472,547,279,209 : x
  2. Step 2: Convert to fraction form
    12,785,297,685,813/18,472,547,279,209 = 18,472,547,279,209/x
  3. Step 3: Cross multiply
    12,785,297,685,813x = 18,472,547,279,209 × 18,472,547,279,209
  4. Step 4: Simplify right side
    12,785,297,685,813x = 341,235,002,982,611,817,250,947,072
  5. Step 5: Solve for x
    x = 341,235,002,982,611,817,250,947,072/12,785,297,685,813
  6. Step 6: Final answer
    x = 26,689,640,817,769.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.