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Finding the Third Proportional to 513,337,520 and 1,108,492,160

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Solution

The third proportional to 513,337,520 and 1,108,492,160 is: 2,393,658,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,337,520 : 1,108,492,160 = 1,108,492,160 : x
  2. Step 2: Convert to fraction form
    513,337,520/1,108,492,160 = 1,108,492,160/x
  3. Step 3: Cross multiply
    513,337,520x = 1,108,492,160 × 1,108,492,160
  4. Step 4: Simplify right side
    513,337,520x = 1,228,754,868,781,465,600
  5. Step 5: Solve for x
    x = 1,228,754,868,781,465,600/513,337,520
  6. Step 6: Final answer
    x = 2,393,658,793.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.