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Finding the Third Proportional to 1,488,054,866 and 2,450,237,979

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Solution

The third proportional to 1,488,054,866 and 2,450,237,979 is: 4,034,573,113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488,054,866 : 2,450,237,979 = 2,450,237,979 : x
  2. Step 2: Convert to fraction form
    1,488,054,866/2,450,237,979 = 2,450,237,979/x
  3. Step 3: Cross multiply
    1,488,054,866x = 2,450,237,979 × 2,450,237,979
  4. Step 4: Simplify right side
    1,488,054,866x = 6,003,666,153,734,004,736
  5. Step 5: Solve for x
    x = 6,003,666,153,734,004,736/1,488,054,866
  6. Step 6: Final answer
    x = 4,034,573,113.47

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.