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Finding the Third Proportional to 17,772,211,388 and 37,015,418,264.50

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Solution

The third proportional to 17,772,211,388 and 37,015,418,264.50 is: 77,094,580,937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772,211,388 : 37,015,418,264.50 = 37,015,418,264.50 : x
  2. Step 2: Convert to fraction form
    17,772,211,388/37,015,418,264.50 = 37,015,418,264.50/x
  3. Step 3: Cross multiply
    17,772,211,388x = 37,015,418,264.50 × 37,015,418,264.50
  4. Step 4: Simplify right side
    17,772,211,388x = 1,370,141,189,295,880,273,920
  5. Step 5: Solve for x
    x = 1,370,141,189,295,880,273,920/17,772,211,388
  6. Step 6: Final answer
    x = 77,094,580,937.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.