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Finding the Third Proportional to 775,500,563,117 and 1,697,088,433,069

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Solution

The third proportional to 775,500,563,117 and 1,697,088,433,069 is: 3,713,871,126,128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,500,563,117 : 1,697,088,433,069 = 1,697,088,433,069 : x
  2. Step 2: Convert to fraction form
    775,500,563,117/1,697,088,433,069 = 1,697,088,433,069/x
  3. Step 3: Cross multiply
    775,500,563,117x = 1,697,088,433,069 × 1,697,088,433,069
  4. Step 4: Simplify right side
    775,500,563,117x = 2,880,109,149,656,593,844,928,512
  5. Step 5: Solve for x
    x = 2,880,109,149,656,593,844,928,512/775,500,563,117
  6. Step 6: Final answer
    x = 3,713,871,126,128.47

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