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Finding the Third Proportional to 5,075,416.18 and 10,959,820.17

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Solution

The third proportional to 5,075,416.18 and 10,959,820.17 is: 23,666,563.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075,416.18 : 10,959,820.17 = 10,959,820.17 : x
  2. Step 2: Convert to fraction form
    5,075,416.18/10,959,820.17 = 10,959,820.17/x
  3. Step 3: Cross multiply
    5,075,416.18x = 10,959,820.17 × 10,959,820.17
  4. Step 4: Simplify right side
    5,075,416.18x = 120,117,658,199,838.16
  5. Step 5: Solve for x
    x = 120,117,658,199,838.16/5,075,416.18
  6. Step 6: Final answer
    x = 23,666,563.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.