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Finding the Third Proportional to 575,781,745.50 and 1,243,311,797.25

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Solution

The third proportional to 575,781,745.50 and 1,243,311,797.25 is: 2,684,739,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,781,745.50 : 1,243,311,797.25 = 1,243,311,797.25 : x
  2. Step 2: Convert to fraction form
    575,781,745.50/1,243,311,797.25 = 1,243,311,797.25/x
  3. Step 3: Cross multiply
    575,781,745.50x = 1,243,311,797.25 × 1,243,311,797.25
  4. Step 4: Simplify right side
    575,781,745.50x = 1,545,824,225,181,025,024
  5. Step 5: Solve for x
    x = 1,545,824,225,181,025,024/575,781,745.50
  6. Step 6: Final answer
    x = 2,684,739,898.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.