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Finding the Third Proportional to 11,782,878,888 and 17,657,082,363

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Solution

The third proportional to 11,782,878,888 and 17,657,082,363 is: 26,459,794,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782,878,888 : 17,657,082,363 = 17,657,082,363 : x
  2. Step 2: Convert to fraction form
    11,782,878,888/17,657,082,363 = 17,657,082,363/x
  3. Step 3: Cross multiply
    11,782,878,888x = 17,657,082,363 × 17,657,082,363
  4. Step 4: Simplify right side
    11,782,878,888x = 311,772,557,573,765,660,672
  5. Step 5: Solve for x
    x = 311,772,557,573,765,660,672/11,782,878,888
  6. Step 6: Final answer
    x = 26,459,794,803.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.