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Finding the Third Proportional to 584,930,888,700 and 1,273,704,268,704

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Solution

The third proportional to 584,930,888,700 and 1,273,704,268,704 is: 2,773,528,626,126.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,930,888,700 : 1,273,704,268,704 = 1,273,704,268,704 : x
  2. Step 2: Convert to fraction form
    584,930,888,700/1,273,704,268,704 = 1,273,704,268,704/x
  3. Step 3: Cross multiply
    584,930,888,700x = 1,273,704,268,704 × 1,273,704,268,704
  4. Step 4: Simplify right side
    584,930,888,700x = 1,622,322,564,114,791,408,861,184
  5. Step 5: Solve for x
    x = 1,622,322,564,114,791,408,861,184/584,930,888,700
  6. Step 6: Final answer
    x = 2,773,528,626,126.03

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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.