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Finding the Third Proportional to 6,059,952 and 12,971,133

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Solution

The third proportional to 6,059,952 and 12,971,133 is: 27,764,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059,952 : 12,971,133 = 12,971,133 : x
  2. Step 2: Convert to fraction form
    6,059,952/12,971,133 = 12,971,133/x
  3. Step 3: Cross multiply
    6,059,952x = 12,971,133 × 12,971,133
  4. Step 4: Simplify right side
    6,059,952x = 168,250,291,303,689
  5. Step 5: Solve for x
    x = 168,250,291,303,689/6,059,952
  6. Step 6: Final answer
    x = 27,764,294.39

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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.