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Finding the Third Proportional to 3,211,830,324 and 4,910,060,294

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Solution

The third proportional to 3,211,830,324 and 4,910,060,294 is: 7,506,215,976.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211,830,324 : 4,910,060,294 = 4,910,060,294 : x
  2. Step 2: Convert to fraction form
    3,211,830,324/4,910,060,294 = 4,910,060,294/x
  3. Step 3: Cross multiply
    3,211,830,324x = 4,910,060,294 × 4,910,060,294
  4. Step 4: Simplify right side
    3,211,830,324x = 24,108,692,090,715,365,376
  5. Step 5: Solve for x
    x = 24,108,692,090,715,365,376/3,211,830,324
  6. Step 6: Final answer
    x = 7,506,215,976.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.