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Finding the Third Proportional to 922,188,345 and 1,976,174,059

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Solution

The third proportional to 922,188,345 and 1,976,174,059 is: 4,234,779,080.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,188,345 : 1,976,174,059 = 1,976,174,059 : x
  2. Step 2: Convert to fraction form
    922,188,345/1,976,174,059 = 1,976,174,059/x
  3. Step 3: Cross multiply
    922,188,345x = 1,976,174,059 × 1,976,174,059
  4. Step 4: Simplify right side
    922,188,345x = 3,905,263,911,464,535,552
  5. Step 5: Solve for x
    x = 3,905,263,911,464,535,552/922,188,345
  6. Step 6: Final answer
    x = 4,234,779,080.26

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Why These Related Problems?

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