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Finding the Third Proportional to 37,984,967 and 77,312,346

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Solution

The third proportional to 37,984,967 and 77,312,346 is: 157,356,957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,984,967 : 77,312,346 = 77,312,346 : x
  2. Step 2: Convert to fraction form
    37,984,967/77,312,346 = 77,312,346/x
  3. Step 3: Cross multiply
    37,984,967x = 77,312,346 × 77,312,346
  4. Step 4: Simplify right side
    37,984,967x = 5,977,198,844,023,716
  5. Step 5: Solve for x
    x = 5,977,198,844,023,716/37,984,967
  6. Step 6: Final answer
    x = 157,356,957.66

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.