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Finding the Third Proportional to 617,877,384.75 and 932,561,993.25

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Solution

The third proportional to 617,877,384.75 and 932,561,993.25 is: 1,407,515,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,877,384.75 : 932,561,993.25 = 932,561,993.25 : x
  2. Step 2: Convert to fraction form
    617,877,384.75/932,561,993.25 = 932,561,993.25/x
  3. Step 3: Cross multiply
    617,877,384.75x = 932,561,993.25 × 932,561,993.25
  4. Step 4: Simplify right side
    617,877,384.75x = 869,671,871,254,413,056
  5. Step 5: Solve for x
    x = 869,671,871,254,413,056/617,877,384.75
  6. Step 6: Final answer
    x = 1,407,515,297.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.