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Finding the Third Proportional to 732,640,708,374.55 and 1,108,383,825,932.30

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Solution

The third proportional to 732,640,708,374.55 and 1,108,383,825,932.30 is: 1,676,831,073,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,640,708,374.55 : 1,108,383,825,932.30 = 1,108,383,825,932.30 : x
  2. Step 2: Convert to fraction form
    732,640,708,374.55/1,108,383,825,932.30 = 1,108,383,825,932.30/x
  3. Step 3: Cross multiply
    732,640,708,374.55x = 1,108,383,825,932.30 × 1,108,383,825,932.30
  4. Step 4: Simplify right side
    732,640,708,374.55x = 1,228,514,705,588,323,195,289,600
  5. Step 5: Solve for x
    x = 1,228,514,705,588,323,195,289,600/732,640,708,374.55
  6. Step 6: Final answer
    x = 1,676,831,073,602.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.