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Finding the Third Proportional to 971,633,593.50 and 2,098,092,513

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Solution

The third proportional to 971,633,593.50 and 2,098,092,513 is: 4,530,506,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,633,593.50 : 2,098,092,513 = 2,098,092,513 : x
  2. Step 2: Convert to fraction form
    971,633,593.50/2,098,092,513 = 2,098,092,513/x
  3. Step 3: Cross multiply
    971,633,593.50x = 2,098,092,513 × 2,098,092,513
  4. Step 4: Simplify right side
    971,633,593.50x = 4,401,992,193,106,655,232
  5. Step 5: Solve for x
    x = 4,401,992,193,106,655,232/971,633,593.50
  6. Step 6: Final answer
    x = 4,530,506,378.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.