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Finding the Third Proportional to 894,491,368 and 1,966,424,368

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Solution

The third proportional to 894,491,368 and 1,966,424,368 is: 4,322,931,370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,491,368 : 1,966,424,368 = 1,966,424,368 : x
  2. Step 2: Convert to fraction form
    894,491,368/1,966,424,368 = 1,966,424,368/x
  3. Step 3: Cross multiply
    894,491,368x = 1,966,424,368 × 1,966,424,368
  4. Step 4: Simplify right side
    894,491,368x = 3,866,824,795,064,199,168
  5. Step 5: Solve for x
    x = 3,866,824,795,064,199,168/894,491,368
  6. Step 6: Final answer
    x = 4,322,931,370.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.