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Finding the Third Proportional to 575,781,741.75 and 1,243,311,792.25

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Solution

The third proportional to 575,781,741.75 and 1,243,311,792.25 is: 2,684,739,894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,781,741.75 : 1,243,311,792.25 = 1,243,311,792.25 : x
  2. Step 2: Convert to fraction form
    575,781,741.75/1,243,311,792.25 = 1,243,311,792.25/x
  3. Step 3: Cross multiply
    575,781,741.75x = 1,243,311,792.25 × 1,243,311,792.25
  4. Step 4: Simplify right side
    575,781,741.75x = 1,545,824,212,747,907,072
  5. Step 5: Solve for x
    x = 1,545,824,212,747,907,072/575,781,741.75
  6. Step 6: Final answer
    x = 2,684,739,894.76

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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.