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Finding the Third Proportional to 1,018,955,207 and 2,222,370,283

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Solution

The third proportional to 1,018,955,207 and 2,222,370,283 is: 4,847,052,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,955,207 : 2,222,370,283 = 2,222,370,283 : x
  2. Step 2: Convert to fraction form
    1,018,955,207/2,222,370,283 = 2,222,370,283/x
  3. Step 3: Cross multiply
    1,018,955,207x = 2,222,370,283 × 2,222,370,283
  4. Step 4: Simplify right side
    1,018,955,207x = 4,938,929,674,761,499,648
  5. Step 5: Solve for x
    x = 4,938,929,674,761,499,648/1,018,955,207
  6. Step 6: Final answer
    x = 4,847,052,785.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.