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Finding the Third Proportional to 4,376,490.75 and 7,031,802.38

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Solution

The third proportional to 4,376,490.75 and 7,031,802.38 is: 11,298,149.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376,490.75 : 7,031,802.38 = 7,031,802.38 : x
  2. Step 2: Convert to fraction form
    4,376,490.75/7,031,802.38 = 7,031,802.38/x
  3. Step 3: Cross multiply
    4,376,490.75x = 7,031,802.38 × 7,031,802.38
  4. Step 4: Simplify right side
    4,376,490.75x = 49,446,244,641,055.64
  5. Step 5: Solve for x
    x = 49,446,244,641,055.64/4,376,490.75
  6. Step 6: Final answer
    x = 11,298,149.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.