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Finding the Third Proportional to 584,931,021,051 and 1,273,704,536,694

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Solution

The third proportional to 584,931,021,051 and 1,273,704,536,694 is: 2,773,529,165,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,931,021,051 : 1,273,704,536,694 = 1,273,704,536,694 : x
  2. Step 2: Convert to fraction form
    584,931,021,051/1,273,704,536,694 = 1,273,704,536,694/x
  3. Step 3: Cross multiply
    584,931,021,051x = 1,273,704,536,694 × 1,273,704,536,694
  4. Step 4: Simplify right side
    584,931,021,051x = 1,622,323,246,794,877,320,560,640
  5. Step 5: Solve for x
    x = 1,622,323,246,794,877,320,560,640/584,931,021,051
  6. Step 6: Final answer
    x = 2,773,529,165,678.20

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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.