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Finding the Third Proportional to 3,380,663,610 and 4,671,438,159

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Solution

The third proportional to 3,380,663,610 and 4,671,438,159 is: 6,455,044,627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380,663,610 : 4,671,438,159 = 4,671,438,159 : x
  2. Step 2: Convert to fraction form
    3,380,663,610/4,671,438,159 = 4,671,438,159/x
  3. Step 3: Cross multiply
    3,380,663,610x = 4,671,438,159 × 4,671,438,159
  4. Step 4: Simplify right side
    3,380,663,610x = 21,822,334,473,361,309,696
  5. Step 5: Solve for x
    x = 21,822,334,473,361,309,696/3,380,663,610
  6. Step 6: Final answer
    x = 6,455,044,627.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.