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Finding the Third Proportional to 454,266,432 and 986,061,501

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Solution

The third proportional to 454,266,432 and 986,061,501 is: 2,140,411,915.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,266,432 : 986,061,501 = 986,061,501 : x
  2. Step 2: Convert to fraction form
    454,266,432/986,061,501 = 986,061,501/x
  3. Step 3: Cross multiply
    454,266,432x = 986,061,501 × 986,061,501
  4. Step 4: Simplify right side
    454,266,432x = 972,317,283,754,372,992
  5. Step 5: Solve for x
    x = 972,317,283,754,372,992/454,266,432
  6. Step 6: Final answer
    x = 2,140,411,915.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.