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Finding the Third Proportional to 6,649,623 and 14,360,184

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Solution

The third proportional to 6,649,623 and 14,360,184 is: 31,011,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649,623 : 14,360,184 = 14,360,184 : x
  2. Step 2: Convert to fraction form
    6,649,623/14,360,184 = 14,360,184/x
  3. Step 3: Cross multiply
    6,649,623x = 14,360,184 × 14,360,184
  4. Step 4: Simplify right side
    6,649,623x = 206,214,884,513,856
  5. Step 5: Solve for x
    x = 206,214,884,513,856/6,649,623
  6. Step 6: Final answer
    x = 31,011,515.17

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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.