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Finding the Third Proportional to 3,179,139,894 and 4,737,696,345

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Solution

The third proportional to 3,179,139,894 and 4,737,696,345 is: 7,060,326,819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179,139,894 : 4,737,696,345 = 4,737,696,345 : x
  2. Step 2: Convert to fraction form
    3,179,139,894/4,737,696,345 = 4,737,696,345/x
  3. Step 3: Cross multiply
    3,179,139,894x = 4,737,696,345 × 4,737,696,345
  4. Step 4: Simplify right side
    3,179,139,894x = 22,445,766,657,426,358,272
  5. Step 5: Solve for x
    x = 22,445,766,657,426,358,272/3,179,139,894
  6. Step 6: Final answer
    x = 7,060,326,819.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.