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Finding the Third Proportional to 7,294,140 and 15,872,607

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Solution

The third proportional to 7,294,140 and 15,872,607 is: 34,540,007.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294,140 : 15,872,607 = 15,872,607 : x
  2. Step 2: Convert to fraction form
    7,294,140/15,872,607 = 15,872,607/x
  3. Step 3: Cross multiply
    7,294,140x = 15,872,607 × 15,872,607
  4. Step 4: Simplify right side
    7,294,140x = 251,939,652,976,449
  5. Step 5: Solve for x
    x = 251,939,652,976,449/7,294,140
  6. Step 6: Final answer
    x = 34,540,007.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.