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Finding the Third Proportional to 73,069,870 and 159,002,977

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Solution

The third proportional to 73,069,870 and 159,002,977 is: 345,996,875.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,069,870 : 159,002,977 = 159,002,977 : x
  2. Step 2: Convert to fraction form
    73,069,870/159,002,977 = 159,002,977/x
  3. Step 3: Cross multiply
    73,069,870x = 159,002,977 × 159,002,977
  4. Step 4: Simplify right side
    73,069,870x = 25,281,946,694,862,528
  5. Step 5: Solve for x
    x = 25,281,946,694,862,528/73,069,870
  6. Step 6: Final answer
    x = 345,996,875.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.