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Finding the Third Proportional to 413,265,888,210 and 641,657,189,709

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Solution

The third proportional to 413,265,888,210 and 641,657,189,709 is: 996,268,893,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,265,888,210 : 641,657,189,709 = 641,657,189,709 : x
  2. Step 2: Convert to fraction form
    413,265,888,210/641,657,189,709 = 641,657,189,709/x
  3. Step 3: Cross multiply
    413,265,888,210x = 641,657,189,709 × 641,657,189,709
  4. Step 4: Simplify right side
    413,265,888,210x = 411,723,949,105,251,627,302,912
  5. Step 5: Solve for x
    x = 411,723,949,105,251,627,302,912/413,265,888,210
  6. Step 6: Final answer
    x = 996,268,893,347.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.