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Finding the Third Proportional to 5,663,268,734 and 7,874,322,501

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Solution

The third proportional to 5,663,268,734 and 7,874,322,501 is: 10,948,616,031.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663,268,734 : 7,874,322,501 = 7,874,322,501 : x
  2. Step 2: Convert to fraction form
    5,663,268,734/7,874,322,501 = 7,874,322,501/x
  3. Step 3: Cross multiply
    5,663,268,734x = 7,874,322,501 × 7,874,322,501
  4. Step 4: Simplify right side
    5,663,268,734x = 62,004,954,849,754,898,432
  5. Step 5: Solve for x
    x = 62,004,954,849,754,898,432/5,663,268,734
  6. Step 6: Final answer
    x = 10,948,616,031.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.