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Finding the Third Proportional to 3,886,547,898 and 8,392,391,448

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Solution

The third proportional to 3,886,547,898 and 8,392,391,448 is: 18,122,054,858.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886,547,898 : 8,392,391,448 = 8,392,391,448 : x
  2. Step 2: Convert to fraction form
    3,886,547,898/8,392,391,448 = 8,392,391,448/x
  3. Step 3: Cross multiply
    3,886,547,898x = 8,392,391,448 × 8,392,391,448
  4. Step 4: Simplify right side
    3,886,547,898x = 70,432,234,216,463,540,224
  5. Step 5: Solve for x
    x = 70,432,234,216,463,540,224/3,886,547,898
  6. Step 6: Final answer
    x = 18,122,054,858.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.