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Finding the Third Proportional to 1,715,569,260 and 3,745,753,056

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Solution

The third proportional to 1,715,569,260 and 3,745,753,056 is: 8,178,431,663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715,569,260 : 3,745,753,056 = 3,745,753,056 : x
  2. Step 2: Convert to fraction form
    1,715,569,260/3,745,753,056 = 3,745,753,056/x
  3. Step 3: Cross multiply
    1,715,569,260x = 3,745,753,056 × 3,745,753,056
  4. Step 4: Simplify right side
    1,715,569,260x = 14,030,665,956,533,338,112
  5. Step 5: Solve for x
    x = 14,030,665,956,533,338,112/1,715,569,260
  6. Step 6: Final answer
    x = 8,178,431,663.28

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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.