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Finding the Third Proportional to 6,116,664 and 9,717,408

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Solution

The third proportional to 6,116,664 and 9,717,408 is: 15,437,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116,664 : 9,717,408 = 9,717,408 : x
  2. Step 2: Convert to fraction form
    6,116,664/9,717,408 = 9,717,408/x
  3. Step 3: Cross multiply
    6,116,664x = 9,717,408 × 9,717,408
  4. Step 4: Simplify right side
    6,116,664x = 94,428,018,238,464
  5. Step 5: Solve for x
    x = 94,428,018,238,464/6,116,664
  6. Step 6: Final answer
    x = 15,437,829.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.