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Finding the Third Proportional to 331,634,675 and 709,856,142

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Solution

The third proportional to 331,634,675 and 709,856,142 is: 1,519,430,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,634,675 : 709,856,142 = 709,856,142 : x
  2. Step 2: Convert to fraction form
    331,634,675/709,856,142 = 709,856,142/x
  3. Step 3: Cross multiply
    331,634,675x = 709,856,142 × 709,856,142
  4. Step 4: Simplify right side
    331,634,675x = 503,895,742,335,124,160
  5. Step 5: Solve for x
    x = 503,895,742,335,124,160/331,634,675
  6. Step 6: Final answer
    x = 1,519,430,205.35

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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.