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Finding the Third Proportional to 4,464,164,709 and 7,350,714,102

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Solution

The third proportional to 4,464,164,709 and 7,350,714,102 is: 12,103,719,582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464,164,709 : 7,350,714,102 = 7,350,714,102 : x
  2. Step 2: Convert to fraction form
    4,464,164,709/7,350,714,102 = 7,350,714,102/x
  3. Step 3: Cross multiply
    4,464,164,709x = 7,350,714,102 × 7,350,714,102
  4. Step 4: Simplify right side
    4,464,164,709x = 54,032,997,809,341,669,376
  5. Step 5: Solve for x
    x = 54,032,997,809,341,669,376/4,464,164,709
  6. Step 6: Final answer
    x = 12,103,719,582.84

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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.