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Finding the Third Proportional to 1,008,423,128 and 2,193,532,528

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Solution

The third proportional to 1,008,423,128 and 2,193,532,528 is: 4,771,394,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,423,128 : 2,193,532,528 = 2,193,532,528 : x
  2. Step 2: Convert to fraction form
    1,008,423,128/2,193,532,528 = 2,193,532,528/x
  3. Step 3: Cross multiply
    1,008,423,128x = 2,193,532,528 × 2,193,532,528
  4. Step 4: Simplify right side
    1,008,423,128x = 4,811,584,951,394,070,528
  5. Step 5: Solve for x
    x = 4,811,584,951,394,070,528/1,008,423,128
  6. Step 6: Final answer
    x = 4,771,394,881.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.