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Finding the Third Proportional to 4,464,164,700 and 7,350,714,090

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Solution

The third proportional to 4,464,164,700 and 7,350,714,090 is: 12,103,719,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464,164,700 : 7,350,714,090 = 7,350,714,090 : x
  2. Step 2: Convert to fraction form
    4,464,164,700/7,350,714,090 = 7,350,714,090/x
  3. Step 3: Cross multiply
    4,464,164,700x = 7,350,714,090 × 7,350,714,090
  4. Step 4: Simplify right side
    4,464,164,700x = 54,032,997,632,924,524,544
  5. Step 5: Solve for x
    x = 54,032,997,632,924,524,544/4,464,164,700
  6. Step 6: Final answer
    x = 12,103,719,567.72

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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.