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Finding the Third Proportional to 8,706,487,720 and 17,778,414,392

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Solution

The third proportional to 8,706,487,720 and 17,778,414,392 is: 36,303,045,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706,487,720 : 17,778,414,392 = 17,778,414,392 : x
  2. Step 2: Convert to fraction form
    8,706,487,720/17,778,414,392 = 17,778,414,392/x
  3. Step 3: Cross multiply
    8,706,487,720x = 17,778,414,392 × 17,778,414,392
  4. Step 4: Simplify right side
    8,706,487,720x = 316,072,018,293,672,706,048
  5. Step 5: Solve for x
    x = 316,072,018,293,672,706,048/8,706,487,720
  6. Step 6: Final answer
    x = 36,303,045,321.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.