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Finding the Third Proportional to 6,289,321 and 13,475,585

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Solution

The third proportional to 6,289,321 and 13,475,585 is: 28,872,972.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289,321 : 13,475,585 = 13,475,585 : x
  2. Step 2: Convert to fraction form
    6,289,321/13,475,585 = 13,475,585/x
  3. Step 3: Cross multiply
    6,289,321x = 13,475,585 × 13,475,585
  4. Step 4: Simplify right side
    6,289,321x = 181,591,391,092,225
  5. Step 5: Solve for x
    x = 181,591,391,092,225/6,289,321
  6. Step 6: Final answer
    x = 28,872,972.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.