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Finding the Third Proportional to 3,381,605,628 and 5,435,913,339

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Solution

The third proportional to 3,381,605,628 and 5,435,913,339 is: 8,738,202,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381,605,628 : 5,435,913,339 = 5,435,913,339 : x
  2. Step 2: Convert to fraction form
    3,381,605,628/5,435,913,339 = 5,435,913,339/x
  3. Step 3: Cross multiply
    3,381,605,628x = 5,435,913,339 × 5,435,913,339
  4. Step 4: Simplify right side
    3,381,605,628x = 29,549,153,829,118,128,128
  5. Step 5: Solve for x
    x = 29,549,153,829,118,128,128/3,381,605,628
  6. Step 6: Final answer
    x = 8,738,202,226.91

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.