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Finding the Third Proportional to 1,229,584,455 and 2,634,898,734

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Solution

The third proportional to 1,229,584,455 and 2,634,898,734 is: 5,646,372,081.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,584,455 : 2,634,898,734 = 2,634,898,734 : x
  2. Step 2: Convert to fraction form
    1,229,584,455/2,634,898,734 = 2,634,898,734/x
  3. Step 3: Cross multiply
    1,229,584,455x = 2,634,898,734 × 2,634,898,734
  4. Step 4: Simplify right side
    1,229,584,455x = 6,942,691,338,434,802,688
  5. Step 5: Solve for x
    x = 6,942,691,338,434,802,688/1,229,584,455
  6. Step 6: Final answer
    x = 5,646,372,081.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.