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Finding the Third Proportional to 3,538,312,664 and 7,678,083,416

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Solution

The third proportional to 3,538,312,664 and 7,678,083,416 is: 16,661,321,522.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538,312,664 : 7,678,083,416 = 7,678,083,416 : x
  2. Step 2: Convert to fraction form
    3,538,312,664/7,678,083,416 = 7,678,083,416/x
  3. Step 3: Cross multiply
    3,538,312,664x = 7,678,083,416 × 7,678,083,416
  4. Step 4: Simplify right side
    3,538,312,664x = 58,952,964,943,054,225,408
  5. Step 5: Solve for x
    x = 58,952,964,943,054,225,408/3,538,312,664
  6. Step 6: Final answer
    x = 16,661,321,522.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.