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Finding the Third Proportional to 10,299,128 and 15,133,384

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Solution

The third proportional to 10,299,128 and 15,133,384 is: 22,236,767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299,128 : 15,133,384 = 15,133,384 : x
  2. Step 2: Convert to fraction form
    10,299,128/15,133,384 = 15,133,384/x
  3. Step 3: Cross multiply
    10,299,128x = 15,133,384 × 15,133,384
  4. Step 4: Simplify right side
    10,299,128x = 229,019,311,291,456
  5. Step 5: Solve for x
    x = 229,019,311,291,456/10,299,128
  6. Step 6: Final answer
    x = 22,236,767.16

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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.