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Finding the Third Proportional to 34,291,147.50 and 52,240,641

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Solution

The third proportional to 34,291,147.50 and 52,240,641 is: 79,585,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,291,147.50 : 52,240,641 = 52,240,641 : x
  2. Step 2: Convert to fraction form
    34,291,147.50/52,240,641 = 52,240,641/x
  3. Step 3: Cross multiply
    34,291,147.50x = 52,240,641 × 52,240,641
  4. Step 4: Simplify right side
    34,291,147.50x = 2,729,084,572,090,881
  5. Step 5: Solve for x
    x = 2,729,084,572,090,881/34,291,147.50
  6. Step 6: Final answer
    x = 79,585,688.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.