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Finding the Third Proportional to 351,702,833 and 748,893,079

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Solution

The third proportional to 351,702,833 and 748,893,079 is: 1,594,644,089.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,702,833 : 748,893,079 = 748,893,079 : x
  2. Step 2: Convert to fraction form
    351,702,833/748,893,079 = 748,893,079/x
  3. Step 3: Cross multiply
    351,702,833x = 748,893,079 × 748,893,079
  4. Step 4: Simplify right side
    351,702,833x = 560,840,843,774,100,224
  5. Step 5: Solve for x
    x = 560,840,843,774,100,224/351,702,833
  6. Step 6: Final answer
    x = 1,594,644,089.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.