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Finding the Third Proportional to 77,264,942 and 165,746,148

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Solution

The third proportional to 77,264,942 and 165,746,148 is: 355,553,047.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,264,942 : 165,746,148 = 165,746,148 : x
  2. Step 2: Convert to fraction form
    77,264,942/165,746,148 = 165,746,148/x
  3. Step 3: Cross multiply
    77,264,942x = 165,746,148 × 165,746,148
  4. Step 4: Simplify right side
    77,264,942x = 27,471,785,576,837,904
  5. Step 5: Solve for x
    x = 27,471,785,576,837,904/77,264,942
  6. Step 6: Final answer
    x = 355,553,047.29

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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.