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Finding the Third Proportional to 20,724,000,900 and 31,834,600,290

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Solution

The third proportional to 20,724,000,900 and 31,834,600,290 is: 48,901,839,973.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,724,000,900 : 31,834,600,290 = 31,834,600,290 : x
  2. Step 2: Convert to fraction form
    20,724,000,900/31,834,600,290 = 31,834,600,290/x
  3. Step 3: Cross multiply
    20,724,000,900x = 31,834,600,290 × 31,834,600,290
  4. Step 4: Simplify right side
    20,724,000,900x = 1,013,441,775,624,068,136,960
  5. Step 5: Solve for x
    x = 1,013,441,775,624,068,136,960/20,724,000,900
  6. Step 6: Final answer
    x = 48,901,839,973.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.