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Finding the Third Proportional to 1,464,598,225.50 and 2,210,517,291

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Solution

The third proportional to 1,464,598,225.50 and 2,210,517,291 is: 3,336,332,523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,598,225.50 : 2,210,517,291 = 2,210,517,291 : x
  2. Step 2: Convert to fraction form
    1,464,598,225.50/2,210,517,291 = 2,210,517,291/x
  3. Step 3: Cross multiply
    1,464,598,225.50x = 2,210,517,291 × 2,210,517,291
  4. Step 4: Simplify right side
    1,464,598,225.50x = 4,886,386,693,809,978,368
  5. Step 5: Solve for x
    x = 4,886,386,693,809,978,368/1,464,598,225.50
  6. Step 6: Final answer
    x = 3,336,332,523.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.