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Finding the Third Proportional to 331,634,730 and 709,856,251.50

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Solution

The third proportional to 331,634,730 and 709,856,251.50 is: 1,519,430,422.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,634,730 : 709,856,251.50 = 709,856,251.50 : x
  2. Step 2: Convert to fraction form
    331,634,730/709,856,251.50 = 709,856,251.50/x
  3. Step 3: Cross multiply
    331,634,730x = 709,856,251.50 × 709,856,251.50
  4. Step 4: Simplify right side
    331,634,730x = 503,895,897,793,631,232
  5. Step 5: Solve for x
    x = 503,895,897,793,631,232/331,634,730
  6. Step 6: Final answer
    x = 1,519,430,422.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.