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Finding the Third Proportional to 360,473,391 and 740,056,410

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Solution

The third proportional to 360,473,391 and 740,056,410 is: 1,519,345,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,473,391 : 740,056,410 = 740,056,410 : x
  2. Step 2: Convert to fraction form
    360,473,391/740,056,410 = 740,056,410/x
  3. Step 3: Cross multiply
    360,473,391x = 740,056,410 × 740,056,410
  4. Step 4: Simplify right side
    360,473,391x = 547,683,489,982,088,128
  5. Step 5: Solve for x
    x = 547,683,489,982,088,128/360,473,391
  6. Step 6: Final answer
    x = 1,519,345,126.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.