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Finding the Third Proportional to 693,646,968 and 1,002,200,078.50

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Solution

The third proportional to 693,646,968 and 1,002,200,078.50 is: 1,448,006,037.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,646,968 : 1,002,200,078.50 = 1,002,200,078.50 : x
  2. Step 2: Convert to fraction form
    693,646,968/1,002,200,078.50 = 1,002,200,078.50/x
  3. Step 3: Cross multiply
    693,646,968x = 1,002,200,078.50 × 1,002,200,078.50
  4. Step 4: Simplify right side
    693,646,968x = 1,004,404,997,345,406,208
  5. Step 5: Solve for x
    x = 1,004,404,997,345,406,208/693,646,968
  6. Step 6: Final answer
    x = 1,448,006,037.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.