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Finding the Third Proportional to 4,308,727,508 and 6,549,967,704

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Solution

The third proportional to 4,308,727,508 and 6,549,967,704 is: 9,957,017,900.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308,727,508 : 6,549,967,704 = 6,549,967,704 : x
  2. Step 2: Convert to fraction form
    4,308,727,508/6,549,967,704 = 6,549,967,704/x
  3. Step 3: Cross multiply
    4,308,727,508x = 6,549,967,704 × 6,549,967,704
  4. Step 4: Simplify right side
    4,308,727,508x = 42,902,076,923,443,027,968
  5. Step 5: Solve for x
    x = 42,902,076,923,443,027,968/4,308,727,508
  6. Step 6: Final answer
    x = 9,957,017,900.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.