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Finding the Third Proportional to 9,974,772 and 21,488,297

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Solution

The third proportional to 9,974,772 and 21,488,297 is: 46,291,474.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974,772 : 21,488,297 = 21,488,297 : x
  2. Step 2: Convert to fraction form
    9,974,772/21,488,297 = 21,488,297/x
  3. Step 3: Cross multiply
    9,974,772x = 21,488,297 × 21,488,297
  4. Step 4: Simplify right side
    9,974,772x = 461,746,907,960,209
  5. Step 5: Solve for x
    x = 461,746,907,960,209/9,974,772
  6. Step 6: Final answer
    x = 46,291,474.93

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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.