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Finding the Third Proportional to 286,238,691.95 and 623,163,105.11

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Solution

The third proportional to 286,238,691.95 and 623,163,105.11 is: 1,356,672,827.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,238,691.95 : 623,163,105.11 = 623,163,105.11 : x
  2. Step 2: Convert to fraction form
    286,238,691.95/623,163,105.11 = 623,163,105.11/x
  3. Step 3: Cross multiply
    286,238,691.95x = 623,163,105.11 × 623,163,105.11
  4. Step 4: Simplify right side
    286,238,691.95x = 388,332,255,564,703,488
  5. Step 5: Solve for x
    x = 388,332,255,564,703,488/286,238,691.95
  6. Step 6: Final answer
    x = 1,356,672,827.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.