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Finding the Third Proportional to 7,174,247,305.50 and 10,098,518,710.50

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Solution

The third proportional to 7,174,247,305.50 and 10,098,518,710.50 is: 14,214,742,788.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174,247,305.50 : 10,098,518,710.50 = 10,098,518,710.50 : x
  2. Step 2: Convert to fraction form
    7,174,247,305.50/10,098,518,710.50 = 10,098,518,710.50/x
  3. Step 3: Cross multiply
    7,174,247,305.50x = 10,098,518,710.50 × 10,098,518,710.50
  4. Step 4: Simplify right side
    7,174,247,305.50x = 101,980,080,146,318,589,952
  5. Step 5: Solve for x
    x = 101,980,080,146,318,589,952/7,174,247,305.50
  6. Step 6: Final answer
    x = 14,214,742,788.16

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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.