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Finding the Third Proportional to 318,840,793,557 and 702,671,495,344

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Solution

The third proportional to 318,840,793,557 and 702,671,495,344 is: 1,548,569,820,256.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,840,793,557 : 702,671,495,344 = 702,671,495,344 : x
  2. Step 2: Convert to fraction form
    318,840,793,557/702,671,495,344 = 702,671,495,344/x
  3. Step 3: Cross multiply
    318,840,793,557x = 702,671,495,344 × 702,671,495,344
  4. Step 4: Simplify right side
    318,840,793,557x = 493,747,230,368,973,035,929,600
  5. Step 5: Solve for x
    x = 493,747,230,368,973,035,929,600/318,840,793,557
  6. Step 6: Final answer
    x = 1,548,569,820,256.41

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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.