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Finding the Third Proportional to 10,336,380.13 and 15,403,786

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Solution

The third proportional to 10,336,380.13 and 15,403,786 is: 22,955,485.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,336,380.13 : 15,403,786 = 15,403,786 : x
  2. Step 2: Convert to fraction form
    10,336,380.13/15,403,786 = 15,403,786/x
  3. Step 3: Cross multiply
    10,336,380.13x = 15,403,786 × 15,403,786
  4. Step 4: Simplify right side
    10,336,380.13x = 237,276,623,133,796
  5. Step 5: Solve for x
    x = 237,276,623,133,796/10,336,380.13
  6. Step 6: Final answer
    x = 22,955,485.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.