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Finding the Third Proportional to 2,780,142 and 6,038,464

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Solution

The third proportional to 2,780,142 and 6,038,464 is: 13,115,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780,142 : 6,038,464 = 6,038,464 : x
  2. Step 2: Convert to fraction form
    2,780,142/6,038,464 = 6,038,464/x
  3. Step 3: Cross multiply
    2,780,142x = 6,038,464 × 6,038,464
  4. Step 4: Simplify right side
    2,780,142x = 36,463,047,479,296
  5. Step 5: Solve for x
    x = 36,463,047,479,296/2,780,142
  6. Step 6: Final answer
    x = 13,115,534.20

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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.