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Finding the Third Proportional to 77,580,569 and 116,157,074

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Solution

The third proportional to 77,580,569 and 116,157,074 is: 173,915,530.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,580,569 : 116,157,074 = 116,157,074 : x
  2. Step 2: Convert to fraction form
    77,580,569/116,157,074 = 116,157,074/x
  3. Step 3: Cross multiply
    77,580,569x = 116,157,074 × 116,157,074
  4. Step 4: Simplify right side
    77,580,569x = 13,492,465,840,241,476
  5. Step 5: Solve for x
    x = 13,492,465,840,241,476/77,580,569
  6. Step 6: Final answer
    x = 173,915,530.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.