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Finding the Third Proportional to 2,780,139.66 and 6,038,459.44

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Solution

The third proportional to 2,780,139.66 and 6,038,459.44 is: 13,115,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780,139.66 : 6,038,459.44 = 6,038,459.44 : x
  2. Step 2: Convert to fraction form
    2,780,139.66/6,038,459.44 = 6,038,459.44/x
  3. Step 3: Cross multiply
    2,780,139.66x = 6,038,459.44 × 6,038,459.44
  4. Step 4: Simplify right side
    2,780,139.66x = 36,462,992,391,605.34
  5. Step 5: Solve for x
    x = 36,462,992,391,605.34/2,780,139.66
  6. Step 6: Final answer
    x = 13,115,525.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.