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Finding the Third Proportional to 4,116,809,064 and 6,361,152,564

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Solution

The third proportional to 4,116,809,064 and 6,361,152,564 is: 9,829,035,379.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116,809,064 : 6,361,152,564 = 6,361,152,564 : x
  2. Step 2: Convert to fraction form
    4,116,809,064/6,361,152,564 = 6,361,152,564/x
  3. Step 3: Cross multiply
    4,116,809,064x = 6,361,152,564 × 6,361,152,564
  4. Step 4: Simplify right side
    4,116,809,064x = 40,464,261,942,483,771,392
  5. Step 5: Solve for x
    x = 40,464,261,942,483,771,392/4,116,809,064
  6. Step 6: Final answer
    x = 9,829,035,379.93

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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.