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Finding the Third Proportional to 4,116,809,076 and 6,361,152,582

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Solution

The third proportional to 4,116,809,076 and 6,361,152,582 is: 9,829,035,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116,809,076 : 6,361,152,582 = 6,361,152,582 : x
  2. Step 2: Convert to fraction form
    4,116,809,076/6,361,152,582 = 6,361,152,582/x
  3. Step 3: Cross multiply
    4,116,809,076x = 6,361,152,582 × 6,361,152,582
  4. Step 4: Simplify right side
    4,116,809,076x = 40,464,262,171,485,265,920
  5. Step 5: Solve for x
    x = 40,464,262,171,485,265,920/4,116,809,076
  6. Step 6: Final answer
    x = 9,829,035,406.91

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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.