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Finding the Third Proportional to 642,879,882 and 1,395,354,672

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Solution

The third proportional to 642,879,882 and 1,395,354,672 is: 3,028,582,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,879,882 : 1,395,354,672 = 1,395,354,672 : x
  2. Step 2: Convert to fraction form
    642,879,882/1,395,354,672 = 1,395,354,672/x
  3. Step 3: Cross multiply
    642,879,882x = 1,395,354,672 × 1,395,354,672
  4. Step 4: Simplify right side
    642,879,882x = 1,947,014,660,672,227,584
  5. Step 5: Solve for x
    x = 1,947,014,660,672,227,584/642,879,882
  6. Step 6: Final answer
    x = 3,028,582,345.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.