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Finding the Third Proportional to 2,897,448.75 and 6,299,353.13

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Solution

The third proportional to 2,897,448.75 and 6,299,353.13 is: 13,695,444.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,448.75 : 6,299,353.13 = 6,299,353.13 : x
  2. Step 2: Convert to fraction form
    2,897,448.75/6,299,353.13 = 6,299,353.13/x
  3. Step 3: Cross multiply
    2,897,448.75x = 6,299,353.13 × 6,299,353.13
  4. Step 4: Simplify right side
    2,897,448.75x = 39,681,849,793,447.27
  5. Step 5: Solve for x
    x = 39,681,849,793,447.27/2,897,448.75
  6. Step 6: Final answer
    x = 13,695,444.93

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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.