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Finding the Third Proportional to 711,713,982 and 1,538,541,276

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Solution

The third proportional to 711,713,982 and 1,538,541,276 is: 3,325,927,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,713,982 : 1,538,541,276 = 1,538,541,276 : x
  2. Step 2: Convert to fraction form
    711,713,982/1,538,541,276 = 1,538,541,276/x
  3. Step 3: Cross multiply
    711,713,982x = 1,538,541,276 × 1,538,541,276
  4. Step 4: Simplify right side
    711,713,982x = 2,367,109,257,955,708,416
  5. Step 5: Solve for x
    x = 2,367,109,257,955,708,416/711,713,982
  6. Step 6: Final answer
    x = 3,325,927,715.10

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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.