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Finding the Third Proportional to 5,849,159.13 and 12,623,149.69

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Solution

The third proportional to 5,849,159.13 and 12,623,149.69 is: 27,242,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849,159.13 : 12,623,149.69 = 12,623,149.69 : x
  2. Step 2: Convert to fraction form
    5,849,159.13/12,623,149.69 = 12,623,149.69/x
  3. Step 3: Cross multiply
    5,849,159.13x = 12,623,149.69 × 12,623,149.69
  4. Step 4: Simplify right side
    5,849,159.13x = 159,343,908,033,031.34
  5. Step 5: Solve for x
    x = 159,343,908,033,031.34/5,849,159.13
  6. Step 6: Final answer
    x = 27,242,190.61

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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.