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Finding the Third Proportional to 51,831,896,787 and 77,408,195,319

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Solution

The third proportional to 51,831,896,787 and 77,408,195,319 is: 115,605,043,881.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,831,896,787 : 77,408,195,319 = 77,408,195,319 : x
  2. Step 2: Convert to fraction form
    51,831,896,787/77,408,195,319 = 77,408,195,319/x
  3. Step 3: Cross multiply
    51,831,896,787x = 77,408,195,319 × 77,408,195,319
  4. Step 4: Simplify right side
    51,831,896,787x = 5,992,028,702,544,453,697,536
  5. Step 5: Solve for x
    x = 5,992,028,702,544,453,697,536/51,831,896,787
  6. Step 6: Final answer
    x = 115,605,043,881.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.