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Finding the Third Proportional to 2,954,648,578 and 4,610,852,001

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Solution

The third proportional to 2,954,648,578 and 4,610,852,001 is: 7,195,426,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954,648,578 : 4,610,852,001 = 4,610,852,001 : x
  2. Step 2: Convert to fraction form
    2,954,648,578/4,610,852,001 = 4,610,852,001/x
  3. Step 3: Cross multiply
    2,954,648,578x = 4,610,852,001 × 4,610,852,001
  4. Step 4: Simplify right side
    2,954,648,578x = 21,259,956,175,125,704,704
  5. Step 5: Solve for x
    x = 21,259,956,175,125,704,704/2,954,648,578
  6. Step 6: Final answer
    x = 7,195,426,330.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.