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Finding the Third Proportional to 6,822,869 and 14,708,566

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Solution

The third proportional to 6,822,869 and 14,708,566 is: 31,708,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822,869 : 14,708,566 = 14,708,566 : x
  2. Step 2: Convert to fraction form
    6,822,869/14,708,566 = 14,708,566/x
  3. Step 3: Cross multiply
    6,822,869x = 14,708,566 × 14,708,566
  4. Step 4: Simplify right side
    6,822,869x = 216,341,913,776,356
  5. Step 5: Solve for x
    x = 216,341,913,776,356/6,822,869
  6. Step 6: Final answer
    x = 31,708,349.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.