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Finding the Third Proportional to 6,845,904 and 14,663,376

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Solution

The third proportional to 6,845,904 and 14,663,376 is: 31,407,772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845,904 : 14,663,376 = 14,663,376 : x
  2. Step 2: Convert to fraction form
    6,845,904/14,663,376 = 14,663,376/x
  3. Step 3: Cross multiply
    6,845,904x = 14,663,376 × 14,663,376
  4. Step 4: Simplify right side
    6,845,904x = 215,014,595,717,376
  5. Step 5: Solve for x
    x = 215,014,595,717,376/6,845,904
  6. Step 6: Final answer
    x = 31,407,772.55

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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.