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Finding the Third Proportional to 516,903,342 and 1,106,465,385

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Solution

The third proportional to 516,903,342 and 1,106,465,385 is: 2,368,461,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,903,342 : 1,106,465,385 = 1,106,465,385 : x
  2. Step 2: Convert to fraction form
    516,903,342/1,106,465,385 = 1,106,465,385/x
  3. Step 3: Cross multiply
    516,903,342x = 1,106,465,385 × 1,106,465,385
  4. Step 4: Simplify right side
    516,903,342x = 1,224,265,648,203,198,208
  5. Step 5: Solve for x
    x = 1,224,265,648,203,198,208/516,903,342
  6. Step 6: Final answer
    x = 2,368,461,467.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.