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Finding the Third Proportional to 1,695,785,724 and 2,559,800,790

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Solution

The third proportional to 1,695,785,724 and 2,559,800,790 is: 3,864,037,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695,785,724 : 2,559,800,790 = 2,559,800,790 : x
  2. Step 2: Convert to fraction form
    1,695,785,724/2,559,800,790 = 2,559,800,790/x
  3. Step 3: Cross multiply
    1,695,785,724x = 2,559,800,790 × 2,559,800,790
  4. Step 4: Simplify right side
    1,695,785,724x = 6,552,580,084,484,624,384
  5. Step 5: Solve for x
    x = 6,552,580,084,484,624,384/1,695,785,724
  6. Step 6: Final answer
    x = 3,864,037,768.30

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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.