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Finding the Third Proportional to 922,294,931 and 1,991,551,336

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Solution

The third proportional to 922,294,931 and 1,991,551,336 is: 4,300,442,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,294,931 : 1,991,551,336 = 1,991,551,336 : x
  2. Step 2: Convert to fraction form
    922,294,931/1,991,551,336 = 1,991,551,336/x
  3. Step 3: Cross multiply
    922,294,931x = 1,991,551,336 × 1,991,551,336
  4. Step 4: Simplify right side
    922,294,931x = 3,966,276,723,923,384,832
  5. Step 5: Solve for x
    x = 3,966,276,723,923,384,832/922,294,931
  6. Step 6: Final answer
    x = 4,300,442,939.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.