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Finding the Third Proportional to 27,617,862 and 41,426,778

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Solution

The third proportional to 27,617,862 and 41,426,778 is: 62,140,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617,862 : 41,426,778 = 41,426,778 : x
  2. Step 2: Convert to fraction form
    27,617,862/41,426,778 = 41,426,778/x
  3. Step 3: Cross multiply
    27,617,862x = 41,426,778 × 41,426,778
  4. Step 4: Simplify right side
    27,617,862x = 1,716,177,935,461,284
  5. Step 5: Solve for x
    x = 1,716,177,935,461,284/27,617,862
  6. Step 6: Final answer
    x = 62,140,144.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.