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Finding the Third Proportional to 445,111,200 and 956,038,656

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Solution

The third proportional to 445,111,200 and 956,038,656 is: 2,053,441,728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,111,200 : 956,038,656 = 956,038,656 : x
  2. Step 2: Convert to fraction form
    445,111,200/956,038,656 = 956,038,656/x
  3. Step 3: Cross multiply
    445,111,200x = 956,038,656 × 956,038,656
  4. Step 4: Simplify right side
    445,111,200x = 914,009,911,766,286,336
  5. Step 5: Solve for x
    x = 914,009,911,766,286,336/445,111,200
  6. Step 6: Final answer
    x = 2,053,441,728.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.