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Finding the Third Proportional to 27,423,595.50 and 40,125,909.50

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Solution

The third proportional to 27,423,595.50 and 40,125,909.50 is: 58,711,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,423,595.50 : 40,125,909.50 = 40,125,909.50 : x
  2. Step 2: Convert to fraction form
    27,423,595.50/40,125,909.50 = 40,125,909.50/x
  3. Step 3: Cross multiply
    27,423,595.50x = 40,125,909.50 × 40,125,909.50
  4. Step 4: Simplify right side
    27,423,595.50x = 1,610,088,613,202,190.25
  5. Step 5: Solve for x
    x = 1,610,088,613,202,190.25/27,423,595.50
  6. Step 6: Final answer
    x = 58,711,798.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.