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Finding the Third Proportional to 1,715,569,258 and 3,745,753,052

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Solution

The third proportional to 1,715,569,258 and 3,745,753,052 is: 8,178,431,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715,569,258 : 3,745,753,052 = 3,745,753,052 : x
  2. Step 2: Convert to fraction form
    1,715,569,258/3,745,753,052 = 3,745,753,052/x
  3. Step 3: Cross multiply
    1,715,569,258x = 3,745,753,052 × 3,745,753,052
  4. Step 4: Simplify right side
    1,715,569,258x = 14,030,665,926,567,315,456
  5. Step 5: Solve for x
    x = 14,030,665,926,567,315,456/1,715,569,258
  6. Step 6: Final answer
    x = 8,178,431,655.35

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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.