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Finding the Third Proportional to 132,700,495,048 and 292,449,576,752

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Solution

The third proportional to 132,700,495,048 and 292,449,576,752 is: 644,509,690,122.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,700,495,048 : 292,449,576,752 = 292,449,576,752 : x
  2. Step 2: Convert to fraction form
    132,700,495,048/292,449,576,752 = 292,449,576,752/x
  3. Step 3: Cross multiply
    132,700,495,048x = 292,449,576,752 × 292,449,576,752
  4. Step 4: Simplify right side
    132,700,495,048x = 85,526,754,942,423,933,124,608
  5. Step 5: Solve for x
    x = 85,526,754,942,423,933,124,608/132,700,495,048
  6. Step 6: Final answer
    x = 644,509,690,122.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.