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Finding the Third Proportional to 6,478,643.25 and 14,998,456.13

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Solution

The third proportional to 6,478,643.25 and 14,998,456.13 is: 34,722,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,643.25 : 14,998,456.13 = 14,998,456.13 : x
  2. Step 2: Convert to fraction form
    6,478,643.25/14,998,456.13 = 14,998,456.13/x
  3. Step 3: Cross multiply
    6,478,643.25x = 14,998,456.13 × 14,998,456.13
  4. Step 4: Simplify right side
    6,478,643.25x = 224,953,686,133,550
  5. Step 5: Solve for x
    x = 224,953,686,133,550/6,478,643.25
  6. Step 6: Final answer
    x = 34,722,345.01

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.