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Finding the Third Proportional to 2,466,374,752 and 5,755,073,296

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Solution

The third proportional to 2,466,374,752 and 5,755,073,296 is: 13,428,968,414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466,374,752 : 5,755,073,296 = 5,755,073,296 : x
  2. Step 2: Convert to fraction form
    2,466,374,752/5,755,073,296 = 5,755,073,296/x
  3. Step 3: Cross multiply
    2,466,374,752x = 5,755,073,296 × 5,755,073,296
  4. Step 4: Simplify right side
    2,466,374,752x = 33,120,868,642,332,303,360
  5. Step 5: Solve for x
    x = 33,120,868,642,332,303,360/2,466,374,752
  6. Step 6: Final answer
    x = 13,428,968,414.26

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.