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Finding the Third Proportional to 785,439,309.09 and 1,171,347,692.63

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Solution

The third proportional to 785,439,309.09 and 1,171,347,692.63 is: 1,746,863,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,439,309.09 : 1,171,347,692.63 = 1,171,347,692.63 : x
  2. Step 2: Convert to fraction form
    785,439,309.09/1,171,347,692.63 = 1,171,347,692.63/x
  3. Step 3: Cross multiply
    785,439,309.09x = 1,171,347,692.63 × 1,171,347,692.63
  4. Step 4: Simplify right side
    785,439,309.09x = 1,372,055,417,017,911,552
  5. Step 5: Solve for x
    x = 1,372,055,417,017,911,552/785,439,309.09
  6. Step 6: Final answer
    x = 1,746,863,699.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.