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Finding the Third Proportional to 738,326,034 and 1,142,861,103

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Solution

The third proportional to 738,326,034 and 1,142,861,103 is: 1,769,044,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,326,034 : 1,142,861,103 = 1,142,861,103 : x
  2. Step 2: Convert to fraction form
    738,326,034/1,142,861,103 = 1,142,861,103/x
  3. Step 3: Cross multiply
    738,326,034x = 1,142,861,103 × 1,142,861,103
  4. Step 4: Simplify right side
    738,326,034x = 1,306,131,500,750,376,704
  5. Step 5: Solve for x
    x = 1,306,131,500,750,376,704/738,326,034
  6. Step 6: Final answer
    x = 1,769,044,352.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.