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Finding the Third Proportional to 362,339,282,340 and 540,366,758,388

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Solution

The third proportional to 362,339,282,340 and 540,366,758,388 is: 805,864,138,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,339,282,340 : 540,366,758,388 = 540,366,758,388 : x
  2. Step 2: Convert to fraction form
    362,339,282,340/540,366,758,388 = 540,366,758,388/x
  3. Step 3: Cross multiply
    362,339,282,340x = 540,366,758,388 × 540,366,758,388
  4. Step 4: Simplify right side
    362,339,282,340x = 291,996,233,570,755,157,164,032
  5. Step 5: Solve for x
    x = 291,996,233,570,755,157,164,032/362,339,282,340
  6. Step 6: Final answer
    x = 805,864,138,398.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.