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Finding the Third Proportional to 581,916,153 and 1,270,493,997

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Solution

The third proportional to 581,916,153 and 1,270,493,997 is: 2,773,861,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,916,153 : 1,270,493,997 = 1,270,493,997 : x
  2. Step 2: Convert to fraction form
    581,916,153/1,270,493,997 = 1,270,493,997/x
  3. Step 3: Cross multiply
    581,916,153x = 1,270,493,997 × 1,270,493,997
  4. Step 4: Simplify right side
    581,916,153x = 1,614,154,996,413,036,032
  5. Step 5: Solve for x
    x = 1,614,154,996,413,036,032/581,916,153
  6. Step 6: Final answer
    x = 2,773,861,815.13

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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.