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Finding the Third Proportional to 4,539,240 and 9,767,304

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Solution

The third proportional to 4,539,240 and 9,767,304 is: 21,016,784.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539,240 : 9,767,304 = 9,767,304 : x
  2. Step 2: Convert to fraction form
    4,539,240/9,767,304 = 9,767,304/x
  3. Step 3: Cross multiply
    4,539,240x = 9,767,304 × 9,767,304
  4. Step 4: Simplify right side
    4,539,240x = 95,400,227,428,416
  5. Step 5: Solve for x
    x = 95,400,227,428,416/4,539,240
  6. Step 6: Final answer
    x = 21,016,784.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.