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Finding the Third Proportional to 271,705,654 and 596,788,652

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Solution

The third proportional to 271,705,654 and 596,788,652 is: 1,310,818,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,705,654 : 596,788,652 = 596,788,652 : x
  2. Step 2: Convert to fraction form
    271,705,654/596,788,652 = 596,788,652/x
  3. Step 3: Cross multiply
    271,705,654x = 596,788,652 × 596,788,652
  4. Step 4: Simplify right side
    271,705,654x = 356,156,695,155,977,088
  5. Step 5: Solve for x
    x = 356,156,695,155,977,088/271,705,654
  6. Step 6: Final answer
    x = 1,310,818,122.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.