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Finding the Third Proportional to 469,514,050 and 1,029,727,268

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Solution

The third proportional to 469,514,050 and 1,029,727,268 is: 2,258,373,836.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,514,050 : 1,029,727,268 = 1,029,727,268 : x
  2. Step 2: Convert to fraction form
    469,514,050/1,029,727,268 = 1,029,727,268/x
  3. Step 3: Cross multiply
    469,514,050x = 1,029,727,268 × 1,029,727,268
  4. Step 4: Simplify right side
    469,514,050x = 1,060,338,246,462,743,808
  5. Step 5: Solve for x
    x = 1,060,338,246,462,743,808/469,514,050
  6. Step 6: Final answer
    x = 2,258,373,836.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.