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Finding the Third Proportional to 8,324,014,434 and 19,423,371,565

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Solution

The third proportional to 8,324,014,434 and 19,423,371,565 is: 45,322,766,550.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324,014,434 : 19,423,371,565 = 19,423,371,565 : x
  2. Step 2: Convert to fraction form
    8,324,014,434/19,423,371,565 = 19,423,371,565/x
  3. Step 3: Cross multiply
    8,324,014,434x = 19,423,371,565 × 19,423,371,565
  4. Step 4: Simplify right side
    8,324,014,434x = 377,267,362,952,050,573,312
  5. Step 5: Solve for x
    x = 377,267,362,952,050,573,312/8,324,014,434
  6. Step 6: Final answer
    x = 45,322,766,550.12

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.