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Finding the Third Proportional to 6,513,190 and 13,922,730

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Solution

The third proportional to 6,513,190 and 13,922,730 is: 29,761,516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513,190 : 13,922,730 = 13,922,730 : x
  2. Step 2: Convert to fraction form
    6,513,190/13,922,730 = 13,922,730/x
  3. Step 3: Cross multiply
    6,513,190x = 13,922,730 × 13,922,730
  4. Step 4: Simplify right side
    6,513,190x = 193,842,410,652,900
  5. Step 5: Solve for x
    x = 193,842,410,652,900/6,513,190
  6. Step 6: Final answer
    x = 29,761,516.35

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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.