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Finding the Third Proportional to 617,013,467 and 1,334,665,803

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Solution

The third proportional to 617,013,467 and 1,334,665,803 is: 2,887,024,191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,013,467 : 1,334,665,803 = 1,334,665,803 : x
  2. Step 2: Convert to fraction form
    617,013,467/1,334,665,803 = 1,334,665,803/x
  3. Step 3: Cross multiply
    617,013,467x = 1,334,665,803 × 1,334,665,803
  4. Step 4: Simplify right side
    617,013,467x = 1,781,332,805,697,634,816
  5. Step 5: Solve for x
    x = 1,781,332,805,697,634,816/617,013,467
  6. Step 6: Final answer
    x = 2,887,024,191.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.