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Finding the Third Proportional to 315,694,718,538 and 744,983,035,053

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Solution

The third proportional to 315,694,718,538 and 744,983,035,053 is: 1,758,026,631,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,694,718,538 : 744,983,035,053 = 744,983,035,053 : x
  2. Step 2: Convert to fraction form
    315,694,718,538/744,983,035,053 = 744,983,035,053/x
  3. Step 3: Cross multiply
    315,694,718,538x = 744,983,035,053 × 744,983,035,053
  4. Step 4: Simplify right side
    315,694,718,538x = 554,999,722,516,779,435,556,864
  5. Step 5: Solve for x
    x = 554,999,722,516,779,435,556,864/315,694,718,538
  6. Step 6: Final answer
    x = 1,758,026,631,192.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.