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Finding the Third Proportional to 968,985,348 and 2,125,552,967.25

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Solution

The third proportional to 968,985,348 and 2,125,552,967.25 is: 4,662,583,831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,985,348 : 2,125,552,967.25 = 2,125,552,967.25 : x
  2. Step 2: Convert to fraction form
    968,985,348/2,125,552,967.25 = 2,125,552,967.25/x
  3. Step 3: Cross multiply
    968,985,348x = 2,125,552,967.25 × 2,125,552,967.25
  4. Step 4: Simplify right side
    968,985,348x = 4,517,975,416,585,279,488
  5. Step 5: Solve for x
    x = 4,517,975,416,585,279,488/968,985,348
  6. Step 6: Final answer
    x = 4,662,583,831.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.