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Finding the Third Proportional to 331,634,747 and 709,856,284

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Solution

The third proportional to 331,634,747 and 709,856,284 is: 1,519,430,483.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,634,747 : 709,856,284 = 709,856,284 : x
  2. Step 2: Convert to fraction form
    331,634,747/709,856,284 = 709,856,284/x
  3. Step 3: Cross multiply
    331,634,747x = 709,856,284 × 709,856,284
  4. Step 4: Simplify right side
    331,634,747x = 503,895,943,934,288,640
  5. Step 5: Solve for x
    x = 503,895,943,934,288,640/331,634,747
  6. Step 6: Final answer
    x = 1,519,430,483.36

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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.