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Finding the Third Proportional to 10,547,517 and 15,849,357

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Solution

The third proportional to 10,547,517 and 15,849,357 is: 23,816,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547,517 : 15,849,357 = 15,849,357 : x
  2. Step 2: Convert to fraction form
    10,547,517/15,849,357 = 15,849,357/x
  3. Step 3: Cross multiply
    10,547,517x = 15,849,357 × 15,849,357
  4. Step 4: Simplify right side
    10,547,517x = 251,202,117,313,449
  5. Step 5: Solve for x
    x = 251,202,117,313,449/10,547,517
  6. Step 6: Final answer
    x = 23,816,232.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.