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Finding the Third Proportional to 9,657,240 and 14,487,036

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Solution

The third proportional to 9,657,240 and 14,487,036 is: 21,732,318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657,240 : 14,487,036 = 14,487,036 : x
  2. Step 2: Convert to fraction form
    9,657,240/14,487,036 = 14,487,036/x
  3. Step 3: Cross multiply
    9,657,240x = 14,487,036 × 14,487,036
  4. Step 4: Simplify right side
    9,657,240x = 209,874,212,065,296
  5. Step 5: Solve for x
    x = 209,874,212,065,296/9,657,240
  6. Step 6: Final answer
    x = 21,732,318.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.