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Finding the Third Proportional to 467,649,138.75 and 653,801,020.50

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Solution

The third proportional to 467,649,138.75 and 653,801,020.50 is: 914,052,307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,649,138.75 : 653,801,020.50 = 653,801,020.50 : x
  2. Step 2: Convert to fraction form
    467,649,138.75/653,801,020.50 = 653,801,020.50/x
  3. Step 3: Cross multiply
    467,649,138.75x = 653,801,020.50 × 653,801,020.50
  4. Step 4: Simplify right side
    467,649,138.75x = 427,455,774,406,841,408
  5. Step 5: Solve for x
    x = 427,455,774,406,841,408/467,649,138.75
  6. Step 6: Final answer
    x = 914,052,307.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.