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Finding the Third Proportional to 2,947,840 and 6,249,969

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Solution

The third proportional to 2,947,840 and 6,249,969 is: 13,251,096.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947,840 : 6,249,969 = 6,249,969 : x
  2. Step 2: Convert to fraction form
    2,947,840/6,249,969 = 6,249,969/x
  3. Step 3: Cross multiply
    2,947,840x = 6,249,969 × 6,249,969
  4. Step 4: Simplify right side
    2,947,840x = 39,062,112,500,961
  5. Step 5: Solve for x
    x = 39,062,112,500,961/2,947,840
  6. Step 6: Final answer
    x = 13,251,096.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.