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Finding the Third Proportional to 77,264,946 and 165,746,156

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Solution

The third proportional to 77,264,946 and 165,746,156 is: 355,553,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,264,946 : 165,746,156 = 165,746,156 : x
  2. Step 2: Convert to fraction form
    77,264,946/165,746,156 = 165,746,156/x
  3. Step 3: Cross multiply
    77,264,946x = 165,746,156 × 165,746,156
  4. Step 4: Simplify right side
    77,264,946x = 27,471,788,228,776,336
  5. Step 5: Solve for x
    x = 27,471,788,228,776,336/77,264,946
  6. Step 6: Final answer
    x = 355,553,063.21

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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.