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Finding the Third Proportional to 15,702,523 and 23,632,409

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Solution

The third proportional to 15,702,523 and 23,632,409 is: 35,566,943.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702,523 : 23,632,409 = 23,632,409 : x
  2. Step 2: Convert to fraction form
    15,702,523/23,632,409 = 23,632,409/x
  3. Step 3: Cross multiply
    15,702,523x = 23,632,409 × 23,632,409
  4. Step 4: Simplify right side
    15,702,523x = 558,490,755,143,281
  5. Step 5: Solve for x
    x = 558,490,755,143,281/15,702,523
  6. Step 6: Final answer
    x = 35,566,943.93

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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.