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Finding the Third Proportional to 21,814,680 and 47,459,952

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Solution

The third proportional to 21,814,680 and 47,459,952 is: 103,253,728.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,814,680 : 47,459,952 = 47,459,952 : x
  2. Step 2: Convert to fraction form
    21,814,680/47,459,952 = 47,459,952/x
  3. Step 3: Cross multiply
    21,814,680x = 47,459,952 × 47,459,952
  4. Step 4: Simplify right side
    21,814,680x = 2,252,447,043,842,304
  5. Step 5: Solve for x
    x = 2,252,447,043,842,304/21,814,680
  6. Step 6: Final answer
    x = 103,253,728.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.