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Finding the Third Proportional to 1,846,937,278 and 4,063,258,360

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Solution

The third proportional to 1,846,937,278 and 4,063,258,360 is: 8,939,160,358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846,937,278 : 4,063,258,360 = 4,063,258,360 : x
  2. Step 2: Convert to fraction form
    1,846,937,278/4,063,258,360 = 4,063,258,360/x
  3. Step 3: Cross multiply
    1,846,937,278x = 4,063,258,360 × 4,063,258,360
  4. Step 4: Simplify right side
    1,846,937,278x = 16,510,068,500,109,889,536
  5. Step 5: Solve for x
    x = 16,510,068,500,109,889,536/1,846,937,278
  6. Step 6: Final answer
    x = 8,939,160,358.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.