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Finding the Third Proportional to 37,984,966 and 77,312,344

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Solution

The third proportional to 37,984,966 and 77,312,344 is: 157,356,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,984,966 : 77,312,344 = 77,312,344 : x
  2. Step 2: Convert to fraction form
    37,984,966/77,312,344 = 77,312,344/x
  3. Step 3: Cross multiply
    37,984,966x = 77,312,344 × 77,312,344
  4. Step 4: Simplify right side
    37,984,966x = 5,977,198,534,774,336
  5. Step 5: Solve for x
    x = 5,977,198,534,774,336/37,984,966
  6. Step 6: Final answer
    x = 157,356,953.66

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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.