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Finding the Third Proportional to 711,713,986 and 1,538,541,284

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Solution

The third proportional to 711,713,986 and 1,538,541,284 is: 3,325,927,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,713,986 : 1,538,541,284 = 1,538,541,284 : x
  2. Step 2: Convert to fraction form
    711,713,986/1,538,541,284 = 1,538,541,284/x
  3. Step 3: Cross multiply
    711,713,986x = 1,538,541,284 × 1,538,541,284
  4. Step 4: Simplify right side
    711,713,986x = 2,367,109,282,572,368,896
  5. Step 5: Solve for x
    x = 2,367,109,282,572,368,896/711,713,986
  6. Step 6: Final answer
    x = 3,325,927,730.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.