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Finding the Third Proportional to 4,596,648.75 and 6,958,882.13

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Solution

The third proportional to 4,596,648.75 and 6,958,882.13 is: 10,535,075.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596,648.75 : 6,958,882.13 = 6,958,882.13 : x
  2. Step 2: Convert to fraction form
    4,596,648.75/6,958,882.13 = 6,958,882.13/x
  3. Step 3: Cross multiply
    4,596,648.75x = 6,958,882.13 × 6,958,882.13
  4. Step 4: Simplify right side
    4,596,648.75x = 48,426,040,429,644.52
  5. Step 5: Solve for x
    x = 48,426,040,429,644.52/4,596,648.75
  6. Step 6: Final answer
    x = 10,535,075.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.