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Finding the Third Proportional to 848,695,969.50 and 1,855,167,465

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Solution

The third proportional to 848,695,969.50 and 1,855,167,465 is: 4,055,216,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,695,969.50 : 1,855,167,465 = 1,855,167,465 : x
  2. Step 2: Convert to fraction form
    848,695,969.50/1,855,167,465 = 1,855,167,465/x
  3. Step 3: Cross multiply
    848,695,969.50x = 1,855,167,465 × 1,855,167,465
  4. Step 4: Simplify right side
    848,695,969.50x = 3,441,646,323,194,526,208
  5. Step 5: Solve for x
    x = 3,441,646,323,194,526,208/848,695,969.50
  6. Step 6: Final answer
    x = 4,055,216,999.82

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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.