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Finding the Third Proportional to 4,088,762,874 and 8,893,919,313

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Solution

The third proportional to 4,088,762,874 and 8,893,919,313 is: 19,346,145,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088,762,874 : 8,893,919,313 = 8,893,919,313 : x
  2. Step 2: Convert to fraction form
    4,088,762,874/8,893,919,313 = 8,893,919,313/x
  3. Step 3: Cross multiply
    4,088,762,874x = 8,893,919,313 × 8,893,919,313
  4. Step 4: Simplify right side
    4,088,762,874x = 79,101,800,746,154,393,600
  5. Step 5: Solve for x
    x = 79,101,800,746,154,393,600/4,088,762,874
  6. Step 6: Final answer
    x = 19,346,145,321.65

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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.