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Finding the Third Proportional to 7,094,450,600 and 9,977,870,113

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Solution

The third proportional to 7,094,450,600 and 9,977,870,113 is: 14,033,206,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094,450,600 : 9,977,870,113 = 9,977,870,113 : x
  2. Step 2: Convert to fraction form
    7,094,450,600/9,977,870,113 = 9,977,870,113/x
  3. Step 3: Cross multiply
    7,094,450,600x = 9,977,870,113 × 9,977,870,113
  4. Step 4: Simplify right side
    7,094,450,600x = 99,557,891,991,898,636,288
  5. Step 5: Solve for x
    x = 99,557,891,991,898,636,288/7,094,450,600
  6. Step 6: Final answer
    x = 14,033,206,742.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.