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Finding the Third Proportional to 9,246,322.13 and 14,725,693.69

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Solution

The third proportional to 9,246,322.13 and 14,725,693.69 is: 23,452,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246,322.13 : 14,725,693.69 = 14,725,693.69 : x
  2. Step 2: Convert to fraction form
    9,246,322.13/14,725,693.69 = 14,725,693.69/x
  3. Step 3: Cross multiply
    9,246,322.13x = 14,725,693.69 × 14,725,693.69
  4. Step 4: Simplify right side
    9,246,322.13x = 216,846,054,578,077.34
  5. Step 5: Solve for x
    x = 216,846,054,578,077.34/9,246,322.13
  6. Step 6: Final answer
    x = 23,452,141.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.