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Finding the Third Proportional to 252,645,696 and 380,834,784

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Solution

The third proportional to 252,645,696 and 380,834,784 is: 574,065,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,645,696 : 380,834,784 = 380,834,784 : x
  2. Step 2: Convert to fraction form
    252,645,696/380,834,784 = 380,834,784/x
  3. Step 3: Cross multiply
    252,645,696x = 380,834,784 × 380,834,784
  4. Step 4: Simplify right side
    252,645,696x = 145,035,132,704,326,656
  5. Step 5: Solve for x
    x = 145,035,132,704,326,656/252,645,696
  6. Step 6: Final answer
    x = 574,065,321.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.