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Finding the Third Proportional to 4,845,510,904 and 10,517,993,840

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Solution

The third proportional to 4,845,510,904 and 10,517,993,840 is: 22,831,069,129.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845,510,904 : 10,517,993,840 = 10,517,993,840 : x
  2. Step 2: Convert to fraction form
    4,845,510,904/10,517,993,840 = 10,517,993,840/x
  3. Step 3: Cross multiply
    4,845,510,904x = 10,517,993,840 × 10,517,993,840
  4. Step 4: Simplify right side
    4,845,510,904x = 110,628,194,418,277,941,248
  5. Step 5: Solve for x
    x = 110,628,194,418,277,941,248/4,845,510,904
  6. Step 6: Final answer
    x = 22,831,069,129.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.