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Finding the Third Proportional to 9,752,449 and 14,345,878

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Solution

The third proportional to 9,752,449 and 14,345,878 is: 21,102,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752,449 : 14,345,878 = 14,345,878 : x
  2. Step 2: Convert to fraction form
    9,752,449/14,345,878 = 14,345,878/x
  3. Step 3: Cross multiply
    9,752,449x = 14,345,878 × 14,345,878
  4. Step 4: Simplify right side
    9,752,449x = 205,804,215,590,884
  5. Step 5: Solve for x
    x = 205,804,215,590,884/9,752,449
  6. Step 6: Final answer
    x = 21,102,824.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.