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Finding the Third Proportional to 917,043,018.75 and 1,937,593,237.50

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Solution

The third proportional to 917,043,018.75 and 1,937,593,237.50 is: 4,093,883,795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,043,018.75 : 1,937,593,237.50 = 1,937,593,237.50 : x
  2. Step 2: Convert to fraction form
    917,043,018.75/1,937,593,237.50 = 1,937,593,237.50/x
  3. Step 3: Cross multiply
    917,043,018.75x = 1,937,593,237.50 × 1,937,593,237.50
  4. Step 4: Simplify right side
    917,043,018.75x = 3,754,267,554,005,731,328
  5. Step 5: Solve for x
    x = 3,754,267,554,005,731,328/917,043,018.75
  6. Step 6: Final answer
    x = 4,093,883,795.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.