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Finding the Third Proportional to 7,881,160 and 17,019,696

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Solution

The third proportional to 7,881,160 and 17,019,696 is: 36,754,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881,160 : 17,019,696 = 17,019,696 : x
  2. Step 2: Convert to fraction form
    7,881,160/17,019,696 = 17,019,696/x
  3. Step 3: Cross multiply
    7,881,160x = 17,019,696 × 17,019,696
  4. Step 4: Simplify right side
    7,881,160x = 289,670,051,932,416
  5. Step 5: Solve for x
    x = 289,670,051,932,416/7,881,160
  6. Step 6: Final answer
    x = 36,754,748.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.