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Finding the Third Proportional to 3,075,838.31 and 6,730,935.47

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Solution

The third proportional to 3,075,838.31 and 6,730,935.47 is: 14,729,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075,838.31 : 6,730,935.47 = 6,730,935.47 : x
  2. Step 2: Convert to fraction form
    3,075,838.31/6,730,935.47 = 6,730,935.47/x
  3. Step 3: Cross multiply
    3,075,838.31x = 6,730,935.47 × 6,730,935.47
  4. Step 4: Simplify right side
    3,075,838.31x = 45,305,492,284,476.78
  5. Step 5: Solve for x
    x = 45,305,492,284,476.78/3,075,838.31
  6. Step 6: Final answer
    x = 14,729,477.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.