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Finding the Third Proportional to 732,774,600 and 1,580,337,216

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Solution

The third proportional to 732,774,600 and 1,580,337,216 is: 3,408,231,830.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,774,600 : 1,580,337,216 = 1,580,337,216 : x
  2. Step 2: Convert to fraction form
    732,774,600/1,580,337,216 = 1,580,337,216/x
  3. Step 3: Cross multiply
    732,774,600x = 1,580,337,216 × 1,580,337,216
  4. Step 4: Simplify right side
    732,774,600x = 2,497,465,716,274,630,656
  5. Step 5: Solve for x
    x = 2,497,465,716,274,630,656/732,774,600
  6. Step 6: Final answer
    x = 3,408,231,830.46

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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.