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Finding the Third Proportional to 7,953,140.25 and 12,613,694.63

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Solution

The third proportional to 7,953,140.25 and 12,613,694.63 is: 20,005,342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953,140.25 : 12,613,694.63 = 12,613,694.63 : x
  2. Step 2: Convert to fraction form
    7,953,140.25/12,613,694.63 = 12,613,694.63/x
  3. Step 3: Cross multiply
    7,953,140.25x = 12,613,694.63 × 12,613,694.63
  4. Step 4: Simplify right side
    7,953,140.25x = 159,105,292,092,753.88
  5. Step 5: Solve for x
    x = 159,105,292,092,753.88/7,953,140.25
  6. Step 6: Final answer
    x = 20,005,342.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.