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Finding the Third Proportional to 27,909,776 and 37,696,728

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Solution

The third proportional to 27,909,776 and 37,696,728 is: 50,915,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,909,776 : 37,696,728 = 37,696,728 : x
  2. Step 2: Convert to fraction form
    27,909,776/37,696,728 = 37,696,728/x
  3. Step 3: Cross multiply
    27,909,776x = 37,696,728 × 37,696,728
  4. Step 4: Simplify right side
    27,909,776x = 1,421,043,301,905,984
  5. Step 5: Solve for x
    x = 1,421,043,301,905,984/27,909,776
  6. Step 6: Final answer
    x = 50,915,611.14

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.