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Finding the Third Proportional to 7,806,705 and 16,916,586

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Solution

The third proportional to 7,806,705 and 16,916,586 is: 36,657,063.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806,705 : 16,916,586 = 16,916,586 : x
  2. Step 2: Convert to fraction form
    7,806,705/16,916,586 = 16,916,586/x
  3. Step 3: Cross multiply
    7,806,705x = 16,916,586 × 16,916,586
  4. Step 4: Simplify right side
    7,806,705x = 286,170,881,895,396
  5. Step 5: Solve for x
    x = 286,170,881,895,396/7,806,705
  6. Step 6: Final answer
    x = 36,657,063.63

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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.