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Finding the Third Proportional to 7,174,247,301 and 10,098,518,705.75

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Solution

The third proportional to 7,174,247,301 and 10,098,518,705.75 is: 14,214,742,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174,247,301 : 10,098,518,705.75 = 10,098,518,705.75 : x
  2. Step 2: Convert to fraction form
    7,174,247,301/10,098,518,705.75 = 10,098,518,705.75/x
  3. Step 3: Cross multiply
    7,174,247,301x = 10,098,518,705.75 × 10,098,518,705.75
  4. Step 4: Simplify right side
    7,174,247,301x = 101,980,080,050,382,651,392
  5. Step 5: Solve for x
    x = 101,980,080,050,382,651,392/7,174,247,301
  6. Step 6: Final answer
    x = 14,214,742,783.70

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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.