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Finding the Third Proportional to 442,775,281.50 and 1,025,051,949.75

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Solution

The third proportional to 442,775,281.50 and 1,025,051,949.75 is: 2,373,058,171.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,775,281.50 : 1,025,051,949.75 = 1,025,051,949.75 : x
  2. Step 2: Convert to fraction form
    442,775,281.50/1,025,051,949.75 = 1,025,051,949.75/x
  3. Step 3: Cross multiply
    442,775,281.50x = 1,025,051,949.75 × 1,025,051,949.75
  4. Step 4: Simplify right side
    442,775,281.50x = 1,050,731,499,686,276,480
  5. Step 5: Solve for x
    x = 1,050,731,499,686,276,480/442,775,281.50
  6. Step 6: Final answer
    x = 2,373,058,171.01

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.