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Finding the Third Proportional to 6,390,416 and 13,804,348

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Solution

The third proportional to 6,390,416 and 13,804,348 is: 29,819,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390,416 : 13,804,348 = 13,804,348 : x
  2. Step 2: Convert to fraction form
    6,390,416/13,804,348 = 13,804,348/x
  3. Step 3: Cross multiply
    6,390,416x = 13,804,348 × 13,804,348
  4. Step 4: Simplify right side
    6,390,416x = 190,560,023,705,104
  5. Step 5: Solve for x
    x = 190,560,023,705,104/6,390,416
  6. Step 6: Final answer
    x = 29,819,658.64

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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.