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Finding the Third Proportional to 988,831,254,438 and 2,120,736,525,894

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Solution

The third proportional to 988,831,254,438 and 2,120,736,525,894 is: 4,548,322,468,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,831,254,438 : 2,120,736,525,894 = 2,120,736,525,894 : x
  2. Step 2: Convert to fraction form
    988,831,254,438/2,120,736,525,894 = 2,120,736,525,894/x
  3. Step 3: Cross multiply
    988,831,254,438x = 2,120,736,525,894 × 2,120,736,525,894
  4. Step 4: Simplify right side
    988,831,254,438x = 4,497,523,412,260,952,526,028,800
  5. Step 5: Solve for x
    x = 4,497,523,412,260,952,526,028,800/988,831,254,438
  6. Step 6: Final answer
    x = 4,548,322,468,647.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.