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Finding the Third Proportional to 8,891,022,703 and 19,331,668,316

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Solution

The third proportional to 8,891,022,703 and 19,331,668,316 is: 42,032,667,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,891,022,703 : 19,331,668,316 = 19,331,668,316 : x
  2. Step 2: Convert to fraction form
    8,891,022,703/19,331,668,316 = 19,331,668,316/x
  3. Step 3: Cross multiply
    8,891,022,703x = 19,331,668,316 × 19,331,668,316
  4. Step 4: Simplify right side
    8,891,022,703x = 373,713,399,879,838,269,440
  5. Step 5: Solve for x
    x = 373,713,399,879,838,269,440/8,891,022,703
  6. Step 6: Final answer
    x = 42,032,667,372.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.