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Finding the Third Proportional to 386,643,944 and 585,581,532

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Solution

The third proportional to 386,643,944 and 585,581,532 is: 886,877,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,643,944 : 585,581,532 = 585,581,532 : x
  2. Step 2: Convert to fraction form
    386,643,944/585,581,532 = 585,581,532/x
  3. Step 3: Cross multiply
    386,643,944x = 585,581,532 × 585,581,532
  4. Step 4: Simplify right side
    386,643,944x = 342,905,730,619,467,008
  5. Step 5: Solve for x
    x = 342,905,730,619,467,008/386,643,944
  6. Step 6: Final answer
    x = 886,877,283.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.