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Finding the Third Proportional to 61,520,236 and 133,602,611

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Solution

The third proportional to 61,520,236 and 133,602,611 is: 290,142,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,520,236 : 133,602,611 = 133,602,611 : x
  2. Step 2: Convert to fraction form
    61,520,236/133,602,611 = 133,602,611/x
  3. Step 3: Cross multiply
    61,520,236x = 133,602,611 × 133,602,611
  4. Step 4: Simplify right side
    61,520,236x = 17,849,657,666,017,320
  5. Step 5: Solve for x
    x = 17,849,657,666,017,320/61,520,236
  6. Step 6: Final answer
    x = 290,142,867.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.