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Finding the Third Proportional to 957,646,538.65 and 1,347,989,692.11

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Solution

The third proportional to 957,646,538.65 and 1,347,989,692.11 is: 1,897,439,333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,646,538.65 : 1,347,989,692.11 = 1,347,989,692.11 : x
  2. Step 2: Convert to fraction form
    957,646,538.65/1,347,989,692.11 = 1,347,989,692.11/x
  3. Step 3: Cross multiply
    957,646,538.65x = 1,347,989,692.11 × 1,347,989,692.11
  4. Step 4: Simplify right side
    957,646,538.65x = 1,817,076,210,043,709,440
  5. Step 5: Solve for x
    x = 1,817,076,210,043,709,440/957,646,538.65
  6. Step 6: Final answer
    x = 1,897,439,333.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.