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Finding the Third Proportional to 77,486,942 and 170,088,646

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Solution

The third proportional to 77,486,942 and 170,088,646 is: 373,355,132.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,486,942 : 170,088,646 = 170,088,646 : x
  2. Step 2: Convert to fraction form
    77,486,942/170,088,646 = 170,088,646/x
  3. Step 3: Cross multiply
    77,486,942x = 170,088,646 × 170,088,646
  4. Step 4: Simplify right side
    77,486,942x = 28,930,147,498,113,316
  5. Step 5: Solve for x
    x = 28,930,147,498,113,316/77,486,942
  6. Step 6: Final answer
    x = 373,355,132.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.