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Finding the Third Proportional to 775,500,563,119 and 1,697,088,433,073

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Solution

The third proportional to 775,500,563,119 and 1,697,088,433,073 is: 3,713,871,126,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,500,563,119 : 1,697,088,433,073 = 1,697,088,433,073 : x
  2. Step 2: Convert to fraction form
    775,500,563,119/1,697,088,433,073 = 1,697,088,433,073/x
  3. Step 3: Cross multiply
    775,500,563,119x = 1,697,088,433,073 × 1,697,088,433,073
  4. Step 4: Simplify right side
    775,500,563,119x = 2,880,109,149,670,170,236,551,168
  5. Step 5: Solve for x
    x = 2,880,109,149,670,170,236,551,168/775,500,563,119
  6. Step 6: Final answer
    x = 3,713,871,126,136.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.