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Finding the Third Proportional to 246,610,902 and 536,635,395

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Solution

The third proportional to 246,610,902 and 536,635,395 is: 1,167,740,537.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,610,902 : 536,635,395 = 536,635,395 : x
  2. Step 2: Convert to fraction form
    246,610,902/536,635,395 = 536,635,395/x
  3. Step 3: Cross multiply
    246,610,902x = 536,635,395 × 536,635,395
  4. Step 4: Simplify right side
    246,610,902x = 287,977,547,166,806,016
  5. Step 5: Solve for x
    x = 287,977,547,166,806,016/246,610,902
  6. Step 6: Final answer
    x = 1,167,740,537.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.