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Finding the Third Proportional to 7,487,695.69 and 11,846,363.91

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Solution

The third proportional to 7,487,695.69 and 11,846,363.91 is: 18,742,259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487,695.69 : 11,846,363.91 = 11,846,363.91 : x
  2. Step 2: Convert to fraction form
    7,487,695.69/11,846,363.91 = 11,846,363.91/x
  3. Step 3: Cross multiply
    7,487,695.69x = 11,846,363.91 × 11,846,363.91
  4. Step 4: Simplify right side
    7,487,695.69x = 140,336,337,799,302.77
  5. Step 5: Solve for x
    x = 140,336,337,799,302.77/7,487,695.69
  6. Step 6: Final answer
    x = 18,742,259.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.