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Finding the Third Proportional to 824,372,464 and 1,777,881,428

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Solution

The third proportional to 824,372,464 and 1,777,881,428 is: 3,834,264,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,464 : 1,777,881,428 = 1,777,881,428 : x
  2. Step 2: Convert to fraction form
    824,372,464/1,777,881,428 = 1,777,881,428/x
  3. Step 3: Cross multiply
    824,372,464x = 1,777,881,428 × 1,777,881,428
  4. Step 4: Simplify right side
    824,372,464x = 3,160,862,372,027,319,296
  5. Step 5: Solve for x
    x = 3,160,862,372,027,319,296/824,372,464
  6. Step 6: Final answer
    x = 3,834,264,862.14

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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.