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Finding the Third Proportional to 511,095,561 and 1,111,740,309

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Solution

The third proportional to 511,095,561 and 1,111,740,309 is: 2,418,268,928.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,095,561 : 1,111,740,309 = 1,111,740,309 : x
  2. Step 2: Convert to fraction form
    511,095,561/1,111,740,309 = 1,111,740,309/x
  3. Step 3: Cross multiply
    511,095,561x = 1,111,740,309 × 1,111,740,309
  4. Step 4: Simplify right side
    511,095,561x = 1,235,966,514,655,415,552
  5. Step 5: Solve for x
    x = 1,235,966,514,655,415,552/511,095,561
  6. Step 6: Final answer
    x = 2,418,268,928.49

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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.