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Finding the Third Proportional to 9,208,080 and 14,413,248

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Solution

The third proportional to 9,208,080 and 14,413,248 is: 22,560,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208,080 : 14,413,248 = 14,413,248 : x
  2. Step 2: Convert to fraction form
    9,208,080/14,413,248 = 14,413,248/x
  3. Step 3: Cross multiply
    9,208,080x = 14,413,248 × 14,413,248
  4. Step 4: Simplify right side
    9,208,080x = 207,741,717,909,504
  5. Step 5: Solve for x
    x = 207,741,717,909,504/9,208,080
  6. Step 6: Final answer
    x = 22,560,807.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.