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Finding the Third Proportional to 75,491,069,658 and 117,214,277,157

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Solution

The third proportional to 75,491,069,658 and 117,214,277,157 is: 181,997,510,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,491,069,658 : 117,214,277,157 = 117,214,277,157 : x
  2. Step 2: Convert to fraction form
    75,491,069,658/117,214,277,157 = 117,214,277,157/x
  3. Step 3: Cross multiply
    75,491,069,658x = 117,214,277,157 × 117,214,277,157
  4. Step 4: Simplify right side
    75,491,069,658x = 13,739,186,769,438,011,555,840
  5. Step 5: Solve for x
    x = 13,739,186,769,438,011,555,840/75,491,069,658
  6. Step 6: Final answer
    x = 181,997,510,853.68

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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.