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Finding the Third Proportional to 4,193,948,312 and 6,511,904,283

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Solution

The third proportional to 4,193,948,312 and 6,511,904,283 is: 10,110,972,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193,948,312 : 6,511,904,283 = 6,511,904,283 : x
  2. Step 2: Convert to fraction form
    4,193,948,312/6,511,904,283 = 6,511,904,283/x
  3. Step 3: Cross multiply
    4,193,948,312x = 6,511,904,283 × 6,511,904,283
  4. Step 4: Simplify right side
    4,193,948,312x = 42,404,897,390,953,742,336
  5. Step 5: Solve for x
    x = 42,404,897,390,953,742,336/4,193,948,312
  6. Step 6: Final answer
    x = 10,110,972,819.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.