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Finding the Third Proportional to 691,148,403.75 and 1,523,174,862.75

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Solution

The third proportional to 691,148,403.75 and 1,523,174,862.75 is: 3,356,821,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,148,403.75 : 1,523,174,862.75 = 1,523,174,862.75 : x
  2. Step 2: Convert to fraction form
    691,148,403.75/1,523,174,862.75 = 1,523,174,862.75/x
  3. Step 3: Cross multiply
    691,148,403.75x = 1,523,174,862.75 × 1,523,174,862.75
  4. Step 4: Simplify right side
    691,148,403.75x = 2,320,061,662,513,481,216
  5. Step 5: Solve for x
    x = 2,320,061,662,513,481,216/691,148,403.75
  6. Step 6: Final answer
    x = 3,356,821,270.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.