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Finding the Third Proportional to 6,526,332 and 13,997,424

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Solution

The third proportional to 6,526,332 and 13,997,424 is: 30,021,132.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526,332 : 13,997,424 = 13,997,424 : x
  2. Step 2: Convert to fraction form
    6,526,332/13,997,424 = 13,997,424/x
  3. Step 3: Cross multiply
    6,526,332x = 13,997,424 × 13,997,424
  4. Step 4: Simplify right side
    6,526,332x = 195,927,878,635,776
  5. Step 5: Solve for x
    x = 195,927,878,635,776/6,526,332
  6. Step 6: Final answer
    x = 30,021,132.64

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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.