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Finding the Third Proportional to 9,133,929 and 19,645,661.25

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Solution

The third proportional to 9,133,929 and 19,645,661.25 is: 42,254,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133,929 : 19,645,661.25 = 19,645,661.25 : x
  2. Step 2: Convert to fraction form
    9,133,929/19,645,661.25 = 19,645,661.25/x
  3. Step 3: Cross multiply
    9,133,929x = 19,645,661.25 × 19,645,661.25
  4. Step 4: Simplify right side
    9,133,929x = 385,952,005,949,751.56
  5. Step 5: Solve for x
    x = 385,952,005,949,751.56/9,133,929
  6. Step 6: Final answer
    x = 42,254,763.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.