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Finding the Third Proportional to 24,870,360,880 and 35,564,908,832

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Solution

The third proportional to 24,870,360,880 and 35,564,908,832 is: 50,858,238,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,870,360,880 : 35,564,908,832 = 35,564,908,832 : x
  2. Step 2: Convert to fraction form
    24,870,360,880/35,564,908,832 = 35,564,908,832/x
  3. Step 3: Cross multiply
    24,870,360,880x = 35,564,908,832 × 35,564,908,832
  4. Step 4: Simplify right side
    24,870,360,880x = 1,264,862,740,228,471,521,280
  5. Step 5: Solve for x
    x = 1,264,862,740,228,471,521,280/24,870,360,880
  6. Step 6: Final answer
    x = 50,858,238,299.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.