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Finding the Third Proportional to 775,569,970 and 1,697,079,908

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Solution

The third proportional to 775,569,970 and 1,697,079,908 is: 3,713,501,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,569,970 : 1,697,079,908 = 1,697,079,908 : x
  2. Step 2: Convert to fraction form
    775,569,970/1,697,079,908 = 1,697,079,908/x
  3. Step 3: Cross multiply
    775,569,970x = 1,697,079,908 × 1,697,079,908
  4. Step 4: Simplify right side
    775,569,970x = 2,880,080,214,137,288,704
  5. Step 5: Solve for x
    x = 2,880,080,214,137,288,704/775,569,970
  6. Step 6: Final answer
    x = 3,713,501,457.69

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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.