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Finding the Third Proportional to 6,315,294 and 13,692,640

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Solution

The third proportional to 6,315,294 and 13,692,640 is: 29,687,990.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315,294 : 13,692,640 = 13,692,640 : x
  2. Step 2: Convert to fraction form
    6,315,294/13,692,640 = 13,692,640/x
  3. Step 3: Cross multiply
    6,315,294x = 13,692,640 × 13,692,640
  4. Step 4: Simplify right side
    6,315,294x = 187,488,390,169,600
  5. Step 5: Solve for x
    x = 187,488,390,169,600/6,315,294
  6. Step 6: Final answer
    x = 29,687,990.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.