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Finding the Third Proportional to 2,626,864 and 5,702,106

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Solution

The third proportional to 2,626,864 and 5,702,106 is: 12,377,501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626,864 : 5,702,106 = 5,702,106 : x
  2. Step 2: Convert to fraction form
    2,626,864/5,702,106 = 5,702,106/x
  3. Step 3: Cross multiply
    2,626,864x = 5,702,106 × 5,702,106
  4. Step 4: Simplify right side
    2,626,864x = 32,514,012,835,236
  5. Step 5: Solve for x
    x = 32,514,012,835,236/2,626,864
  6. Step 6: Final answer
    x = 12,377,501.40

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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.