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Finding the Third Proportional to 6,799,929.75 and 14,695,941.38

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Solution

The third proportional to 6,799,929.75 and 14,695,941.38 is: 31,760,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,799,929.75 : 14,695,941.38 = 14,695,941.38 : x
  2. Step 2: Convert to fraction form
    6,799,929.75/14,695,941.38 = 14,695,941.38/x
  3. Step 3: Cross multiply
    6,799,929.75x = 14,695,941.38 × 14,695,941.38
  4. Step 4: Simplify right side
    6,799,929.75x = 215,970,692,897,436.88
  5. Step 5: Solve for x
    x = 215,970,692,897,436.88/6,799,929.75
  6. Step 6: Final answer
    x = 31,760,724.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.