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Finding the Third Proportional to 1,077,352,470 and 1,516,488,557

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Solution

The third proportional to 1,077,352,470 and 1,516,488,557 is: 2,134,619,456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,352,470 : 1,516,488,557 = 1,516,488,557 : x
  2. Step 2: Convert to fraction form
    1,077,352,470/1,516,488,557 = 1,516,488,557/x
  3. Step 3: Cross multiply
    1,077,352,470x = 1,516,488,557 × 1,516,488,557
  4. Step 4: Simplify right side
    1,077,352,470x = 2,299,737,543,511,942,144
  5. Step 5: Solve for x
    x = 2,299,737,543,511,942,144/1,077,352,470
  6. Step 6: Final answer
    x = 2,134,619,456.07

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.