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Finding the Third Proportional to 6,001,422 and 13,141,176

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Solution

The third proportional to 6,001,422 and 13,141,176 is: 28,774,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001,422 : 13,141,176 = 13,141,176 : x
  2. Step 2: Convert to fraction form
    6,001,422/13,141,176 = 13,141,176/x
  3. Step 3: Cross multiply
    6,001,422x = 13,141,176 × 13,141,176
  4. Step 4: Simplify right side
    6,001,422x = 172,690,506,662,976
  5. Step 5: Solve for x
    x = 172,690,506,662,976/6,001,422
  6. Step 6: Final answer
    x = 28,774,931.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.