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Finding the Third Proportional to 824,372,382 and 1,777,881,282

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Solution

The third proportional to 824,372,382 and 1,777,881,282 is: 3,834,264,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,372,382 : 1,777,881,282 = 1,777,881,282 : x
  2. Step 2: Convert to fraction form
    824,372,382/1,777,881,282 = 1,777,881,282/x
  3. Step 3: Cross multiply
    824,372,382x = 1,777,881,282 × 1,777,881,282
  4. Step 4: Simplify right side
    824,372,382x = 3,160,861,852,885,963,776
  5. Step 5: Solve for x
    x = 3,160,861,852,885,963,776/824,372,382
  6. Step 6: Final answer
    x = 3,834,264,613.79

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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.