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Finding the Third Proportional to 957,218,871.50 and 2,082,152,454.50

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Solution

The third proportional to 957,218,871.50 and 2,082,152,454.50 is: 4,529,119,695.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,218,871.50 : 2,082,152,454.50 = 2,082,152,454.50 : x
  2. Step 2: Convert to fraction form
    957,218,871.50/2,082,152,454.50 = 2,082,152,454.50/x
  3. Step 3: Cross multiply
    957,218,871.50x = 2,082,152,454.50 × 2,082,152,454.50
  4. Step 4: Simplify right side
    957,218,871.50x = 4,335,358,843,780,374,528
  5. Step 5: Solve for x
    x = 4,335,358,843,780,374,528/957,218,871.50
  6. Step 6: Final answer
    x = 4,529,119,695.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.