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Finding the Third Proportional to 566,306,222.34 and 1,334,941,223.34

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Solution

The third proportional to 566,306,222.34 and 1,334,941,223.34 is: 3,146,827,634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,306,222.34 : 1,334,941,223.34 = 1,334,941,223.34 : x
  2. Step 2: Convert to fraction form
    566,306,222.34/1,334,941,223.34 = 1,334,941,223.34/x
  3. Step 3: Cross multiply
    566,306,222.34x = 1,334,941,223.34 × 1,334,941,223.34
  4. Step 4: Simplify right side
    566,306,222.34x = 1,782,068,069,782,641,408
  5. Step 5: Solve for x
    x = 1,782,068,069,782,641,408/566,306,222.34
  6. Step 6: Final answer
    x = 3,146,827,634.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.