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Finding the Third Proportional to 362,339,282,343 and 540,366,758,392.50

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Solution

The third proportional to 362,339,282,343 and 540,366,758,392.50 is: 805,864,138,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,339,282,343 : 540,366,758,392.50 = 540,366,758,392.50 : x
  2. Step 2: Convert to fraction form
    362,339,282,343/540,366,758,392.50 = 540,366,758,392.50/x
  3. Step 3: Cross multiply
    362,339,282,343x = 540,366,758,392.50 × 540,366,758,392.50
  4. Step 4: Simplify right side
    362,339,282,343x = 291,996,233,575,618,469,429,248
  5. Step 5: Solve for x
    x = 291,996,233,575,618,469,429,248/362,339,282,343
  6. Step 6: Final answer
    x = 805,864,138,404.98

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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.