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Finding the Third Proportional to 7,174,247,298.50 and 10,098,518,702

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Solution

The third proportional to 7,174,247,298.50 and 10,098,518,702 is: 14,214,742,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174,247,298.50 : 10,098,518,702 = 10,098,518,702 : x
  2. Step 2: Convert to fraction form
    7,174,247,298.50/10,098,518,702 = 10,098,518,702/x
  3. Step 3: Cross multiply
    7,174,247,298.50x = 10,098,518,702 × 10,098,518,702
  4. Step 4: Simplify right side
    7,174,247,298.50x = 101,980,079,974,643,761,152
  5. Step 5: Solve for x
    x = 101,980,079,974,643,761,152/7,174,247,298.50
  6. Step 6: Final answer
    x = 14,214,742,778.10

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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.