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Finding the Third Proportional to 824,372,432 and 1,777,881,364

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Solution

The third proportional to 824,372,432 and 1,777,881,364 is: 3,834,264,734.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,432 : 1,777,881,364 = 1,777,881,364 : x
  2. Step 2: Convert to fraction form
    824,372,432/1,777,881,364 = 1,777,881,364/x
  3. Step 3: Cross multiply
    824,372,432x = 1,777,881,364 × 1,777,881,364
  4. Step 4: Simplify right side
    824,372,432x = 3,160,862,144,458,500,608
  5. Step 5: Solve for x
    x = 3,160,862,144,458,500,608/824,372,432
  6. Step 6: Final answer
    x = 3,834,264,734.92

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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.