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Finding the Third Proportional to 7,094,450,923.50 and 9,977,870,551.50

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Solution

The third proportional to 7,094,450,923.50 and 9,977,870,551.50 is: 14,033,207,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094,450,923.50 : 9,977,870,551.50 = 9,977,870,551.50 : x
  2. Step 2: Convert to fraction form
    7,094,450,923.50/9,977,870,551.50 = 9,977,870,551.50/x
  3. Step 3: Cross multiply
    7,094,450,923.50x = 9,977,870,551.50 × 9,977,870,551.50
  4. Step 4: Simplify right side
    7,094,450,923.50x = 99,557,900,742,490,914,816
  5. Step 5: Solve for x
    x = 99,557,900,742,490,914,816/7,094,450,923.50
  6. Step 6: Final answer
    x = 14,033,207,335.71

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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.