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Finding the Third Proportional to 1,170,834,276 and 2,545,734,120

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Solution

The third proportional to 1,170,834,276 and 2,545,734,120 is: 5,535,166,114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170,834,276 : 2,545,734,120 = 2,545,734,120 : x
  2. Step 2: Convert to fraction form
    1,170,834,276/2,545,734,120 = 2,545,734,120/x
  3. Step 3: Cross multiply
    1,170,834,276x = 2,545,734,120 × 2,545,734,120
  4. Step 4: Simplify right side
    1,170,834,276x = 6,480,762,209,732,174,848
  5. Step 5: Solve for x
    x = 6,480,762,209,732,174,848/1,170,834,276
  6. Step 6: Final answer
    x = 5,535,166,114.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.