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Finding the Third Proportional to 9,974,776 and 21,488,304

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Solution

The third proportional to 9,974,776 and 21,488,304 is: 46,291,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974,776 : 21,488,304 = 21,488,304 : x
  2. Step 2: Convert to fraction form
    9,974,776/21,488,304 = 21,488,304/x
  3. Step 3: Cross multiply
    9,974,776x = 21,488,304 × 21,488,304
  4. Step 4: Simplify right side
    9,974,776x = 461,747,208,796,416
  5. Step 5: Solve for x
    x = 461,747,208,796,416/9,974,776
  6. Step 6: Final answer
    x = 46,291,486.53

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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.