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Finding the Third Proportional to 4,866,423.75 and 10,502,277.75

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Solution

The third proportional to 4,866,423.75 and 10,502,277.75 is: 22,665,070.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866,423.75 : 10,502,277.75 = 10,502,277.75 : x
  2. Step 2: Convert to fraction form
    4,866,423.75/10,502,277.75 = 10,502,277.75/x
  3. Step 3: Cross multiply
    4,866,423.75x = 10,502,277.75 × 10,502,277.75
  4. Step 4: Simplify right side
    4,866,423.75x = 110,297,837,938,145.06
  5. Step 5: Solve for x
    x = 110,297,837,938,145.06/4,866,423.75
  6. Step 6: Final answer
    x = 22,665,070.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.