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Finding the Third Proportional to 612,526,576.50 and 941,497,242.75

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Solution

The third proportional to 612,526,576.50 and 941,497,242.75 is: 1,447,148,731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,526,576.50 : 941,497,242.75 = 941,497,242.75 : x
  2. Step 2: Convert to fraction form
    612,526,576.50/941,497,242.75 = 941,497,242.75/x
  3. Step 3: Cross multiply
    612,526,576.50x = 941,497,242.75 × 941,497,242.75
  4. Step 4: Simplify right side
    612,526,576.50x = 886,417,058,105,852,416
  5. Step 5: Solve for x
    x = 886,417,058,105,852,416/612,526,576.50
  6. Step 6: Final answer
    x = 1,447,148,731.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.