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Finding the Third Proportional to 22,684,008,677,856 and 48,808,466,146,068

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Solution

The third proportional to 22,684,008,677,856 and 48,808,466,146,068 is: 105,019,637,461,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684,008,677,856 : 48,808,466,146,068 = 48,808,466,146,068 : x
  2. Step 2: Convert to fraction form
    22,684,008,677,856/48,808,466,146,068 = 48,808,466,146,068/x
  3. Step 3: Cross multiply
    22,684,008,677,856x = 48,808,466,146,068 × 48,808,466,146,068
  4. Step 4: Simplify right side
    22,684,008,677,856x = 2,382,266,367,531,865,976,533,417,984
  5. Step 5: Solve for x
    x = 2,382,266,367,531,865,976,533,417,984/22,684,008,677,856
  6. Step 6: Final answer
    x = 105,019,637,461,936.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.