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Finding the Third Proportional to 7,268,897,760 and 15,811,373,106

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Solution

The third proportional to 7,268,897,760 and 15,811,373,106 is: 34,393,043,863.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268,897,760 : 15,811,373,106 = 15,811,373,106 : x
  2. Step 2: Convert to fraction form
    7,268,897,760/15,811,373,106 = 15,811,373,106/x
  3. Step 3: Cross multiply
    7,268,897,760x = 15,811,373,106 × 15,811,373,106
  4. Step 4: Simplify right side
    7,268,897,760x = 249,999,519,497,140,076,544
  5. Step 5: Solve for x
    x = 249,999,519,497,140,076,544/7,268,897,760
  6. Step 6: Final answer
    x = 34,393,043,863.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.