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Finding the Third Proportional to 362,339,282,342 and 540,366,758,391

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Solution

The third proportional to 362,339,282,342 and 540,366,758,391 is: 805,864,138,402.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,339,282,342 : 540,366,758,391 = 540,366,758,391 : x
  2. Step 2: Convert to fraction form
    362,339,282,342/540,366,758,391 = 540,366,758,391/x
  3. Step 3: Cross multiply
    362,339,282,342x = 540,366,758,391 × 540,366,758,391
  4. Step 4: Simplify right side
    362,339,282,342x = 291,996,233,573,997,354,156,032
  5. Step 5: Solve for x
    x = 291,996,233,573,997,354,156,032/362,339,282,342
  6. Step 6: Final answer
    x = 805,864,138,402.73

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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.