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Finding the Third Proportional to 824,372,466 and 1,777,881,432

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Solution

The third proportional to 824,372,466 and 1,777,881,432 is: 3,834,264,870.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,466 : 1,777,881,432 = 1,777,881,432 : x
  2. Step 2: Convert to fraction form
    824,372,466/1,777,881,432 = 1,777,881,432/x
  3. Step 3: Cross multiply
    824,372,466x = 1,777,881,432 × 1,777,881,432
  4. Step 4: Simplify right side
    824,372,466x = 3,160,862,386,250,370,560
  5. Step 5: Solve for x
    x = 3,160,862,386,250,370,560/824,372,466
  6. Step 6: Final answer
    x = 3,834,264,870.09

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