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Finding the Third Proportional to 310,952,465 and 680,481,826

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Solution

The third proportional to 310,952,465 and 680,481,826 is: 1,489,152,097.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,952,465 : 680,481,826 = 680,481,826 : x
  2. Step 2: Convert to fraction form
    310,952,465/680,481,826 = 680,481,826/x
  3. Step 3: Cross multiply
    310,952,465x = 680,481,826 × 680,481,826
  4. Step 4: Simplify right side
    310,952,465x = 463,055,515,516,294,272
  5. Step 5: Solve for x
    x = 463,055,515,516,294,272/310,952,465
  6. Step 6: Final answer
    x = 1,489,152,097.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.