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Finding the Third Proportional to 668,793,936 and 1,033,011,433

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Solution

The third proportional to 668,793,936 and 1,033,011,433 is: 1,595,577,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,793,936 : 1,033,011,433 = 1,033,011,433 : x
  2. Step 2: Convert to fraction form
    668,793,936/1,033,011,433 = 1,033,011,433/x
  3. Step 3: Cross multiply
    668,793,936x = 1,033,011,433 × 1,033,011,433
  4. Step 4: Simplify right side
    668,793,936x = 1,067,112,620,708,713,472
  5. Step 5: Solve for x
    x = 1,067,112,620,708,713,472/668,793,936
  6. Step 6: Final answer
    x = 1,595,577,596.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.