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Finding the Third Proportional to 4,368,488.06 and 6,837,938.44

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Solution

The third proportional to 4,368,488.06 and 6,837,938.44 is: 10,703,337.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,368,488.06 : 6,837,938.44 = 6,837,938.44 : x
  2. Step 2: Convert to fraction form
    4,368,488.06/6,837,938.44 = 6,837,938.44/x
  3. Step 3: Cross multiply
    4,368,488.06x = 6,837,938.44 × 6,837,938.44
  4. Step 4: Simplify right side
    4,368,488.06x = 46,757,402,075,039.94
  5. Step 5: Solve for x
    x = 46,757,402,075,039.94/4,368,488.06
  6. Step 6: Final answer
    x = 10,703,337.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.