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Finding the Third Proportional to 76,565,294 and 117,686,397

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Solution

The third proportional to 76,565,294 and 117,686,397 is: 180,892,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,565,294 : 117,686,397 = 117,686,397 : x
  2. Step 2: Convert to fraction form
    76,565,294/117,686,397 = 117,686,397/x
  3. Step 3: Cross multiply
    76,565,294x = 117,686,397 × 117,686,397
  4. Step 4: Simplify right side
    76,565,294x = 13,850,088,038,841,608
  5. Step 5: Solve for x
    x = 13,850,088,038,841,608/76,565,294
  6. Step 6: Final answer
    x = 180,892,507.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.