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Finding the Third Proportional to 2,931,106 and 6,363,539

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Solution

The third proportional to 2,931,106 and 6,363,539 is: 13,815,477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931,106 : 6,363,539 = 6,363,539 : x
  2. Step 2: Convert to fraction form
    2,931,106/6,363,539 = 6,363,539/x
  3. Step 3: Cross multiply
    2,931,106x = 6,363,539 × 6,363,539
  4. Step 4: Simplify right side
    2,931,106x = 40,494,628,604,521
  5. Step 5: Solve for x
    x = 40,494,628,604,521/2,931,106
  6. Step 6: Final answer
    x = 13,815,477.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.