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Finding the Third Proportional to 24,187,486,506 and 37,554,695,565.75

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Solution

The third proportional to 24,187,486,506 and 37,554,695,565.75 is: 58,309,289,751.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,187,486,506 : 37,554,695,565.75 = 37,554,695,565.75 : x
  2. Step 2: Convert to fraction form
    24,187,486,506/37,554,695,565.75 = 37,554,695,565.75/x
  3. Step 3: Cross multiply
    24,187,486,506x = 37,554,695,565.75 × 37,554,695,565.75
  4. Step 4: Simplify right side
    24,187,486,506x = 1,410,355,159,036,162,736,128
  5. Step 5: Solve for x
    x = 1,410,355,159,036,162,736,128/24,187,486,506
  6. Step 6: Final answer
    x = 58,309,289,751.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.