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Finding the Third Proportional to 51,831,896,796 and 77,408,195,332.50

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Solution

The third proportional to 51,831,896,796 and 77,408,195,332.50 is: 115,605,043,902.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,831,896,796 : 77,408,195,332.50 = 77,408,195,332.50 : x
  2. Step 2: Convert to fraction form
    51,831,896,796/77,408,195,332.50 = 77,408,195,332.50/x
  3. Step 3: Cross multiply
    51,831,896,796x = 77,408,195,332.50 × 77,408,195,332.50
  4. Step 4: Simplify right side
    51,831,896,796x = 5,992,028,704,634,474,332,160
  5. Step 5: Solve for x
    x = 5,992,028,704,634,474,332,160/51,831,896,796
  6. Step 6: Final answer
    x = 115,605,043,902.17

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