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Finding the Third Proportional to 1,077,352,472 and 1,516,488,560

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Solution

The third proportional to 1,077,352,472 and 1,516,488,560 is: 2,134,619,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,352,472 : 1,516,488,560 = 1,516,488,560 : x
  2. Step 2: Convert to fraction form
    1,077,352,472/1,516,488,560 = 1,516,488,560/x
  3. Step 3: Cross multiply
    1,077,352,472x = 1,516,488,560 × 1,516,488,560
  4. Step 4: Simplify right side
    1,077,352,472x = 2,299,737,552,610,873,600
  5. Step 5: Solve for x
    x = 2,299,737,552,610,873,600/1,077,352,472
  6. Step 6: Final answer
    x = 2,134,619,460.56

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Why These Related Problems?

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