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Finding the Third Proportional to 76,566,498 and 117,688,011

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Solution

The third proportional to 76,566,498 and 117,688,011 is: 180,894,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,566,498 : 117,688,011 = 117,688,011 : x
  2. Step 2: Convert to fraction form
    76,566,498/117,688,011 = 117,688,011/x
  3. Step 3: Cross multiply
    76,566,498x = 117,688,011 × 117,688,011
  4. Step 4: Simplify right side
    76,566,498x = 13,850,467,933,136,120
  5. Step 5: Solve for x
    x = 13,850,467,933,136,120/76,566,498
  6. Step 6: Final answer
    x = 180,894,624.87

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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.