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Finding the Third Proportional to 1,817,223,932 and 3,952,842,806

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Solution

The third proportional to 1,817,223,932 and 3,952,842,806 is: 8,598,261,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,223,932 : 3,952,842,806 = 3,952,842,806 : x
  2. Step 2: Convert to fraction form
    1,817,223,932/3,952,842,806 = 3,952,842,806/x
  3. Step 3: Cross multiply
    1,817,223,932x = 3,952,842,806 × 3,952,842,806
  4. Step 4: Simplify right side
    1,817,223,932x = 15,624,966,248,945,952,768
  5. Step 5: Solve for x
    x = 15,624,966,248,945,952,768/1,817,223,932
  6. Step 6: Final answer
    x = 8,598,261,322.56

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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.