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Finding the Third Proportional to 551,385,232,615 and 1,180,226,984,797

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Solution

The third proportional to 551,385,232,615 and 1,180,226,984,797 is: 2,526,247,808,699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,385,232,615 : 1,180,226,984,797 = 1,180,226,984,797 : x
  2. Step 2: Convert to fraction form
    551,385,232,615/1,180,226,984,797 = 1,180,226,984,797/x
  3. Step 3: Cross multiply
    551,385,232,615x = 1,180,226,984,797 × 1,180,226,984,797
  4. Step 4: Simplify right side
    551,385,232,615x = 1,392,935,735,643,018,174,136,320
  5. Step 5: Solve for x
    x = 1,392,935,735,643,018,174,136,320/551,385,232,615
  6. Step 6: Final answer
    x = 2,526,247,808,699.70

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Why These Related Problems?

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