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Finding the Third Proportional to 39,935,106 and 57,068,307

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Solution

The third proportional to 39,935,106 and 57,068,307 is: 81,552,097.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,935,106 : 57,068,307 = 57,068,307 : x
  2. Step 2: Convert to fraction form
    39,935,106/57,068,307 = 57,068,307/x
  3. Step 3: Cross multiply
    39,935,106x = 57,068,307 × 57,068,307
  4. Step 4: Simplify right side
    39,935,106x = 3,256,791,663,846,249
  5. Step 5: Solve for x
    x = 3,256,791,663,846,249/39,935,106
  6. Step 6: Final answer
    x = 81,552,097.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.