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Finding the Third Proportional to 1,695,785,744 and 2,559,800,820

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Solution

The third proportional to 1,695,785,744 and 2,559,800,820 is: 3,864,037,813.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695,785,744 : 2,559,800,820 = 2,559,800,820 : x
  2. Step 2: Convert to fraction form
    1,695,785,744/2,559,800,820 = 2,559,800,820/x
  3. Step 3: Cross multiply
    1,695,785,744x = 2,559,800,820 × 2,559,800,820
  4. Step 4: Simplify right side
    1,695,785,744x = 6,552,580,238,072,672,256
  5. Step 5: Solve for x
    x = 6,552,580,238,072,672,256/1,695,785,744
  6. Step 6: Final answer
    x = 3,864,037,813.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.