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Finding the Third Proportional to 7,094,450,926 and 9,977,870,554

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Solution

The third proportional to 7,094,450,926 and 9,977,870,554 is: 14,033,207,337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094,450,926 : 9,977,870,554 = 9,977,870,554 : x
  2. Step 2: Convert to fraction form
    7,094,450,926/9,977,870,554 = 9,977,870,554/x
  3. Step 3: Cross multiply
    7,094,450,926x = 9,977,870,554 × 9,977,870,554
  4. Step 4: Simplify right side
    7,094,450,926x = 99,557,900,792,380,260,352
  5. Step 5: Solve for x
    x = 99,557,900,792,380,260,352/7,094,450,926
  6. Step 6: Final answer
    x = 14,033,207,337.80

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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.