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Finding the Third Proportional to 14,565,540 and 21,748,557

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Solution

The third proportional to 14,565,540 and 21,748,557 is: 32,473,889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565,540 : 21,748,557 = 21,748,557 : x
  2. Step 2: Convert to fraction form
    14,565,540/21,748,557 = 21,748,557/x
  3. Step 3: Cross multiply
    14,565,540x = 21,748,557 × 21,748,557
  4. Step 4: Simplify right side
    14,565,540x = 472,999,731,582,249
  5. Step 5: Solve for x
    x = 472,999,731,582,249/14,565,540
  6. Step 6: Final answer
    x = 32,473,889.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.