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Finding the Third Proportional to 1,233,203,976 and 1,803,501,900

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Solution

The third proportional to 1,233,203,976 and 1,803,501,900 is: 2,637,535,368.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,203,976 : 1,803,501,900 = 1,803,501,900 : x
  2. Step 2: Convert to fraction form
    1,233,203,976/1,803,501,900 = 1,803,501,900/x
  3. Step 3: Cross multiply
    1,233,203,976x = 1,803,501,900 × 1,803,501,900
  4. Step 4: Simplify right side
    1,233,203,976x = 3,252,619,103,303,609,856
  5. Step 5: Solve for x
    x = 3,252,619,103,303,609,856/1,233,203,976
  6. Step 6: Final answer
    x = 2,637,535,368.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.