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Finding the Third Proportional to 781,256,268.75 and 1,669,957,051.50

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Solution

The third proportional to 781,256,268.75 and 1,669,957,051.50 is: 3,569,579,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,256,268.75 : 1,669,957,051.50 = 1,669,957,051.50 : x
  2. Step 2: Convert to fraction form
    781,256,268.75/1,669,957,051.50 = 1,669,957,051.50/x
  3. Step 3: Cross multiply
    781,256,268.75x = 1,669,957,051.50 × 1,669,957,051.50
  4. Step 4: Simplify right side
    781,256,268.75x = 2,788,756,553,854,573,568
  5. Step 5: Solve for x
    x = 2,788,756,553,854,573,568/781,256,268.75
  6. Step 6: Final answer
    x = 3,569,579,746.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.