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Finding the Third Proportional to 38,526,407 and 56,407,426

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Solution

The third proportional to 38,526,407 and 56,407,426 is: 82,587,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,526,407 : 56,407,426 = 56,407,426 : x
  2. Step 2: Convert to fraction form
    38,526,407/56,407,426 = 56,407,426/x
  3. Step 3: Cross multiply
    38,526,407x = 56,407,426 × 56,407,426
  4. Step 4: Simplify right side
    38,526,407x = 3,181,797,707,945,476
  5. Step 5: Solve for x
    x = 3,181,797,707,945,476/38,526,407
  6. Step 6: Final answer
    x = 82,587,449.90

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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.