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Finding the Third Proportional to 73,070,583 and 159,004,497

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Solution

The third proportional to 73,070,583 and 159,004,497 is: 346,000,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,070,583 : 159,004,497 = 159,004,497 : x
  2. Step 2: Convert to fraction form
    73,070,583/159,004,497 = 159,004,497/x
  3. Step 3: Cross multiply
    73,070,583x = 159,004,497 × 159,004,497
  4. Step 4: Simplify right side
    73,070,583x = 25,282,430,066,223,008
  5. Step 5: Solve for x
    x = 25,282,430,066,223,008/73,070,583
  6. Step 6: Final answer
    x = 346,000,114.25

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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.