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Finding the Third Proportional to 6,655,218 and 14,319,210

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Solution

The third proportional to 6,655,218 and 14,319,210 is: 30,808,874.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655,218 : 14,319,210 = 14,319,210 : x
  2. Step 2: Convert to fraction form
    6,655,218/14,319,210 = 14,319,210/x
  3. Step 3: Cross multiply
    6,655,218x = 14,319,210 × 14,319,210
  4. Step 4: Simplify right side
    6,655,218x = 205,039,775,024,100
  5. Step 5: Solve for x
    x = 205,039,775,024,100/6,655,218
  6. Step 6: Final answer
    x = 30,808,874.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.