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Finding the Third Proportional to 291,314,546 and 624,181,092

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Solution

The third proportional to 291,314,546 and 624,181,092 is: 1,337,393,003.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,314,546 : 624,181,092 = 624,181,092 : x
  2. Step 2: Convert to fraction form
    291,314,546/624,181,092 = 624,181,092/x
  3. Step 3: Cross multiply
    291,314,546x = 624,181,092 × 624,181,092
  4. Step 4: Simplify right side
    291,314,546x = 389,602,035,610,312,448
  5. Step 5: Solve for x
    x = 389,602,035,610,312,448/291,314,546
  6. Step 6: Final answer
    x = 1,337,393,003.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.