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Finding the Third Proportional to 2,031,153,458 and 2,806,592,655

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Solution

The third proportional to 2,031,153,458 and 2,806,592,655 is: 3,878,073,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,153,458 : 2,806,592,655 = 2,806,592,655 : x
  2. Step 2: Convert to fraction form
    2,031,153,458/2,806,592,655 = 2,806,592,655/x
  3. Step 3: Cross multiply
    2,031,153,458x = 2,806,592,655 × 2,806,592,655
  4. Step 4: Simplify right side
    2,031,153,458x = 7,876,962,331,099,949,056
  5. Step 5: Solve for x
    x = 7,876,962,331,099,949,056/2,031,153,458
  6. Step 6: Final answer
    x = 3,878,073,466.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.