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Finding the Third Proportional to 4,121,068 and 9,064,312

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Solution

The third proportional to 4,121,068 and 9,064,312 is: 19,937,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121,068 : 9,064,312 = 9,064,312 : x
  2. Step 2: Convert to fraction form
    4,121,068/9,064,312 = 9,064,312/x
  3. Step 3: Cross multiply
    4,121,068x = 9,064,312 × 9,064,312
  4. Step 4: Simplify right side
    4,121,068x = 82,161,752,033,344
  5. Step 5: Solve for x
    x = 82,161,752,033,344/4,121,068
  6. Step 6: Final answer
    x = 19,937,004.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.