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Finding the Third Proportional to 1,817,223,948 and 3,952,842,840

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Solution

The third proportional to 1,817,223,948 and 3,952,842,840 is: 8,598,261,394.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,223,948 : 3,952,842,840 = 3,952,842,840 : x
  2. Step 2: Convert to fraction form
    1,817,223,948/3,952,842,840 = 3,952,842,840/x
  3. Step 3: Cross multiply
    1,817,223,948x = 3,952,842,840 × 3,952,842,840
  4. Step 4: Simplify right side
    1,817,223,948x = 15,624,966,517,739,266,048
  5. Step 5: Solve for x
    x = 15,624,966,517,739,266,048/1,817,223,948
  6. Step 6: Final answer
    x = 8,598,261,394.77

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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.