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Finding the Third Proportional to 13,686,596 and 21,185,070

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Solution

The third proportional to 13,686,596 and 21,185,070 is: 32,791,732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686,596 : 21,185,070 = 21,185,070 : x
  2. Step 2: Convert to fraction form
    13,686,596/21,185,070 = 21,185,070/x
  3. Step 3: Cross multiply
    13,686,596x = 21,185,070 × 21,185,070
  4. Step 4: Simplify right side
    13,686,596x = 448,807,190,904,900
  5. Step 5: Solve for x
    x = 448,807,190,904,900/13,686,596
  6. Step 6: Final answer
    x = 32,791,732.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.