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Finding the Third Proportional to 1,316,524,992 and 2,831,182,464

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Solution

The third proportional to 1,316,524,992 and 2,831,182,464 is: 6,088,448,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316,524,992 : 2,831,182,464 = 2,831,182,464 : x
  2. Step 2: Convert to fraction form
    1,316,524,992/2,831,182,464 = 2,831,182,464/x
  3. Step 3: Cross multiply
    1,316,524,992x = 2,831,182,464 × 2,831,182,464
  4. Step 4: Simplify right side
    1,316,524,992x = 8,015,594,144,461,111,296
  5. Step 5: Solve for x
    x = 8,015,594,144,461,111,296/1,316,524,992
  6. Step 6: Final answer
    x = 6,088,448,144.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.