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Finding the Third Proportional to 7,699,357,870 and 16,503,729,079

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Solution

The third proportional to 7,699,357,870 and 16,503,729,079 is: 35,376,076,565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699,357,870 : 16,503,729,079 = 16,503,729,079 : x
  2. Step 2: Convert to fraction form
    7,699,357,870/16,503,729,079 = 16,503,729,079/x
  3. Step 3: Cross multiply
    7,699,357,870x = 16,503,729,079 × 16,503,729,079
  4. Step 4: Simplify right side
    7,699,357,870x = 272,373,073,513,030,189,056
  5. Step 5: Solve for x
    x = 272,373,073,513,030,189,056/7,699,357,870
  6. Step 6: Final answer
    x = 35,376,076,565.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.