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Finding the Third Proportional to 2,026,143,506 and 3,027,288,051

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Solution

The third proportional to 2,026,143,506 and 3,027,288,051 is: 4,523,111,475.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026,143,506 : 3,027,288,051 = 3,027,288,051 : x
  2. Step 2: Convert to fraction form
    2,026,143,506/3,027,288,051 = 3,027,288,051/x
  3. Step 3: Cross multiply
    2,026,143,506x = 3,027,288,051 × 3,027,288,051
  4. Step 4: Simplify right side
    2,026,143,506x = 9,164,472,943,727,378,432
  5. Step 5: Solve for x
    x = 9,164,472,943,727,378,432/2,026,143,506
  6. Step 6: Final answer
    x = 4,523,111,475.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.