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Finding the Third Proportional to 4,464,164,703 and 7,350,714,094

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Solution

The third proportional to 4,464,164,703 and 7,350,714,094 is: 12,103,719,572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464,164,703 : 7,350,714,094 = 7,350,714,094 : x
  2. Step 2: Convert to fraction form
    4,464,164,703/7,350,714,094 = 7,350,714,094/x
  3. Step 3: Cross multiply
    4,464,164,703x = 7,350,714,094 × 7,350,714,094
  4. Step 4: Simplify right side
    4,464,164,703x = 54,032,997,691,730,239,488
  5. Step 5: Solve for x
    x = 54,032,997,691,730,239,488/4,464,164,703
  6. Step 6: Final answer
    x = 12,103,719,572.76

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.