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Finding the Third Proportional to 30,192,725 and 65,165,854

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Solution

The third proportional to 30,192,725 and 65,165,854 is: 140,649,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,192,725 : 65,165,854 = 65,165,854 : x
  2. Step 2: Convert to fraction form
    30,192,725/65,165,854 = 65,165,854/x
  3. Step 3: Cross multiply
    30,192,725x = 65,165,854 × 65,165,854
  4. Step 4: Simplify right side
    30,192,725x = 4,246,588,527,549,316
  5. Step 5: Solve for x
    x = 4,246,588,527,549,316/30,192,725
  6. Step 6: Final answer
    x = 140,649,395.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.