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Finding the Third Proportional to 334,396,964 and 516,505,710.50

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Solution

The third proportional to 334,396,964 and 516,505,710.50 is: 797,788,789.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,396,964 : 516,505,710.50 = 516,505,710.50 : x
  2. Step 2: Convert to fraction form
    334,396,964/516,505,710.50 = 516,505,710.50/x
  3. Step 3: Cross multiply
    334,396,964x = 516,505,710.50 × 516,505,710.50
  4. Step 4: Simplify right side
    334,396,964x = 266,778,148,979,109,824
  5. Step 5: Solve for x
    x = 266,778,148,979,109,824/334,396,964
  6. Step 6: Final answer
    x = 797,788,789.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.