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Finding the Third Proportional to 1,873,684,654 and 4,166,298,455

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Solution

The third proportional to 1,873,684,654 and 4,166,298,455 is: 9,264,121,782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873,684,654 : 4,166,298,455 = 4,166,298,455 : x
  2. Step 2: Convert to fraction form
    1,873,684,654/4,166,298,455 = 4,166,298,455/x
  3. Step 3: Cross multiply
    1,873,684,654x = 4,166,298,455 × 4,166,298,455
  4. Step 4: Simplify right side
    1,873,684,654x = 17,358,042,816,135,387,136
  5. Step 5: Solve for x
    x = 17,358,042,816,135,387,136/1,873,684,654
  6. Step 6: Final answer
    x = 9,264,121,782.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.