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Finding the Third Proportional to 2,766,756,415 and 6,024,763,468

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Solution

The third proportional to 2,766,756,415 and 6,024,763,468 is: 13,119,252,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766,756,415 : 6,024,763,468 = 6,024,763,468 : x
  2. Step 2: Convert to fraction form
    2,766,756,415/6,024,763,468 = 6,024,763,468/x
  3. Step 3: Cross multiply
    2,766,756,415x = 6,024,763,468 × 6,024,763,468
  4. Step 4: Simplify right side
    2,766,756,415x = 36,297,774,845,347,385,344
  5. Step 5: Solve for x
    x = 36,297,774,845,347,385,344/2,766,756,415
  6. Step 6: Final answer
    x = 13,119,252,077.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.