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Finding the Third Proportional to 4,116,809,087 and 6,361,152,599

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Solution

The third proportional to 4,116,809,087 and 6,361,152,599 is: 9,829,035,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116,809,087 : 6,361,152,599 = 6,361,152,599 : x
  2. Step 2: Convert to fraction form
    4,116,809,087/6,361,152,599 = 6,361,152,599/x
  3. Step 3: Cross multiply
    4,116,809,087x = 6,361,152,599 × 6,361,152,599
  4. Step 4: Simplify right side
    4,116,809,087x = 40,464,262,387,764,453,376
  5. Step 5: Solve for x
    x = 40,464,262,387,764,453,376/4,116,809,087
  6. Step 6: Final answer
    x = 9,829,035,433.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.