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Finding the Third Proportional to 1,242,301,152 and 1,948,635,264

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Solution

The third proportional to 1,242,301,152 and 1,948,635,264 is: 3,056,569,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,301,152 : 1,948,635,264 = 1,948,635,264 : x
  2. Step 2: Convert to fraction form
    1,242,301,152/1,948,635,264 = 1,948,635,264/x
  3. Step 3: Cross multiply
    1,242,301,152x = 1,948,635,264 × 1,948,635,264
  4. Step 4: Simplify right side
    1,242,301,152x = 3,797,179,392,104,349,696
  5. Step 5: Solve for x
    x = 3,797,179,392,104,349,696/1,242,301,152
  6. Step 6: Final answer
    x = 3,056,569,162.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.