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Finding the Third Proportional to 1,250,351,528 and 1,838,064,124

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Solution

The third proportional to 1,250,351,528 and 1,838,064,124 is: 2,702,023,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250,351,528 : 1,838,064,124 = 1,838,064,124 : x
  2. Step 2: Convert to fraction form
    1,250,351,528/1,838,064,124 = 1,838,064,124/x
  3. Step 3: Cross multiply
    1,250,351,528x = 1,838,064,124 × 1,838,064,124
  4. Step 4: Simplify right side
    1,250,351,528x = 3,378,479,723,935,887,360
  5. Step 5: Solve for x
    x = 3,378,479,723,935,887,360/1,250,351,528
  6. Step 6: Final answer
    x = 2,702,023,909.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.