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Finding the Third Proportional to 6,822,872 and 14,708,572

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Solution

The third proportional to 6,822,872 and 14,708,572 is: 31,708,361.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822,872 : 14,708,572 = 14,708,572 : x
  2. Step 2: Convert to fraction form
    6,822,872/14,708,572 = 14,708,572/x
  3. Step 3: Cross multiply
    6,822,872x = 14,708,572 × 14,708,572
  4. Step 4: Simplify right side
    6,822,872x = 216,342,090,279,184
  5. Step 5: Solve for x
    x = 216,342,090,279,184/6,822,872
  6. Step 6: Final answer
    x = 31,708,361.27

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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.