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Finding the Third Proportional to 1,488,054,896 and 2,450,238,024

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Solution

The third proportional to 1,488,054,896 and 2,450,238,024 is: 4,034,573,180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488,054,896 : 2,450,238,024 = 2,450,238,024 : x
  2. Step 2: Convert to fraction form
    1,488,054,896/2,450,238,024 = 2,450,238,024/x
  3. Step 3: Cross multiply
    1,488,054,896x = 2,450,238,024 × 2,450,238,024
  4. Step 4: Simplify right side
    1,488,054,896x = 6,003,666,374,255,424,512
  5. Step 5: Solve for x
    x = 6,003,666,374,255,424,512/1,488,054,896
  6. Step 6: Final answer
    x = 4,034,573,180.33

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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.