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Finding the Third Proportional to 15,702,509 and 23,632,387.50

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Solution

The third proportional to 15,702,509 and 23,632,387.50 is: 35,566,910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702,509 : 23,632,387.50 = 23,632,387.50 : x
  2. Step 2: Convert to fraction form
    15,702,509/23,632,387.50 = 23,632,387.50/x
  3. Step 3: Cross multiply
    15,702,509x = 23,632,387.50 × 23,632,387.50
  4. Step 4: Simplify right side
    15,702,509x = 558,489,738,950,156.25
  5. Step 5: Solve for x
    x = 558,489,738,950,156.25/15,702,509
  6. Step 6: Final answer
    x = 35,566,910.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.