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Finding the Third Proportional to 14,138,282 and 21,758,547

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Solution

The third proportional to 14,138,282 and 21,758,547 is: 33,485,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138,282 : 21,758,547 = 21,758,547 : x
  2. Step 2: Convert to fraction form
    14,138,282/21,758,547 = 21,758,547/x
  3. Step 3: Cross multiply
    14,138,282x = 21,758,547 × 21,758,547
  4. Step 4: Simplify right side
    14,138,282x = 473,434,367,551,209
  5. Step 5: Solve for x
    x = 473,434,367,551,209/14,138,282
  6. Step 6: Final answer
    x = 33,485,989.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.