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Finding the Third Proportional to 4,302,063,918 and 9,257,899,821

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Solution

The third proportional to 4,302,063,918 and 9,257,899,821 is: 19,922,695,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302,063,918 : 9,257,899,821 = 9,257,899,821 : x
  2. Step 2: Convert to fraction form
    4,302,063,918/9,257,899,821 = 9,257,899,821/x
  3. Step 3: Cross multiply
    4,302,063,918x = 9,257,899,821 × 9,257,899,821
  4. Step 4: Simplify right side
    4,302,063,918x = 85,708,709,095,671,824,384
  5. Step 5: Solve for x
    x = 85,708,709,095,671,824,384/4,302,063,918
  6. Step 6: Final answer
    x = 19,922,695,415.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.