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Finding the Third Proportional to 575,781,744 and 1,243,311,797

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Solution

The third proportional to 575,781,744 and 1,243,311,797 is: 2,684,739,904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,781,744 : 1,243,311,797 = 1,243,311,797 : x
  2. Step 2: Convert to fraction form
    575,781,744/1,243,311,797 = 1,243,311,797/x
  3. Step 3: Cross multiply
    575,781,744x = 1,243,311,797 × 1,243,311,797
  4. Step 4: Simplify right side
    575,781,744x = 1,545,824,224,559,369,216
  5. Step 5: Solve for x
    x = 1,545,824,224,559,369,216/575,781,744
  6. Step 6: Final answer
    x = 2,684,739,904.78

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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.