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Finding the Third Proportional to 2,896,749 and 6,291,239.63

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Solution

The third proportional to 2,896,749 and 6,291,239.63 is: 13,663,488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896,749 : 6,291,239.63 = 6,291,239.63 : x
  2. Step 2: Convert to fraction form
    2,896,749/6,291,239.63 = 6,291,239.63/x
  3. Step 3: Cross multiply
    2,896,749x = 6,291,239.63 × 6,291,239.63
  4. Step 4: Simplify right side
    2,896,749x = 39,579,696,019,170.14
  5. Step 5: Solve for x
    x = 39,579,696,019,170.14/2,896,749
  6. Step 6: Final answer
    x = 13,663,488.28

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