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Finding the Third Proportional to 24,187,486,507 and 37,554,695,567

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Solution

The third proportional to 24,187,486,507 and 37,554,695,567 is: 58,309,289,752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,187,486,507 : 37,554,695,567 = 37,554,695,567 : x
  2. Step 2: Convert to fraction form
    24,187,486,507/37,554,695,567 = 37,554,695,567/x
  3. Step 3: Cross multiply
    24,187,486,507x = 37,554,695,567 × 37,554,695,567
  4. Step 4: Simplify right side
    24,187,486,507x = 1,410,355,159,130,049,347,584
  5. Step 5: Solve for x
    x = 1,410,355,159,130,049,347,584/24,187,486,507
  6. Step 6: Final answer
    x = 58,309,289,752.86

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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.