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Finding the Third Proportional to 9,654,345 and 14,571,297

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Solution

The third proportional to 9,654,345 and 14,571,297 is: 21,992,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654,345 : 14,571,297 = 14,571,297 : x
  2. Step 2: Convert to fraction form
    9,654,345/14,571,297 = 14,571,297/x
  3. Step 3: Cross multiply
    9,654,345x = 14,571,297 × 14,571,297
  4. Step 4: Simplify right side
    9,654,345x = 212,322,696,262,209
  5. Step 5: Solve for x
    x = 212,322,696,262,209/9,654,345
  6. Step 6: Final answer
    x = 21,992,449.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.