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Finding the Third Proportional to 30,646,564 and 65,942,696

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Solution

The third proportional to 30,646,564 and 65,942,696 is: 141,889,940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646,564 : 65,942,696 = 65,942,696 : x
  2. Step 2: Convert to fraction form
    30,646,564/65,942,696 = 65,942,696/x
  3. Step 3: Cross multiply
    30,646,564x = 65,942,696 × 65,942,696
  4. Step 4: Simplify right side
    30,646,564x = 4,348,439,155,748,416
  5. Step 5: Solve for x
    x = 4,348,439,155,748,416/30,646,564
  6. Step 6: Final answer
    x = 141,889,940.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.