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Finding the Third Proportional to 575,782,872 and 1,243,314,086

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Solution

The third proportional to 575,782,872 and 1,243,314,086 is: 2,684,744,530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,782,872 : 1,243,314,086 = 1,243,314,086 : x
  2. Step 2: Convert to fraction form
    575,782,872/1,243,314,086 = 1,243,314,086/x
  3. Step 3: Cross multiply
    575,782,872x = 1,243,314,086 × 1,243,314,086
  4. Step 4: Simplify right side
    575,782,872x = 1,545,829,916,446,015,488
  5. Step 5: Solve for x
    x = 1,545,829,916,446,015,488/575,782,872
  6. Step 6: Final answer
    x = 2,684,744,530.65

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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.