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Finding the Third Proportional to 732,640,708,384.55 and 1,108,383,825,946.40

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Solution

The third proportional to 732,640,708,384.55 and 1,108,383,825,946.40 is: 1,676,831,073,621.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,640,708,384.55 : 1,108,383,825,946.40 = 1,108,383,825,946.40 : x
  2. Step 2: Convert to fraction form
    732,640,708,384.55/1,108,383,825,946.40 = 1,108,383,825,946.40/x
  3. Step 3: Cross multiply
    732,640,708,384.55x = 1,108,383,825,946.40 × 1,108,383,825,946.40
  4. Step 4: Simplify right side
    732,640,708,384.55x = 1,228,514,705,619,579,282,915,328
  5. Step 5: Solve for x
    x = 1,228,514,705,619,579,282,915,328/732,640,708,384.55
  6. Step 6: Final answer
    x = 1,676,831,073,621.91

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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.