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Finding the Third Proportional to 1,204,988,600 and 1,862,014,648

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Solution

The third proportional to 1,204,988,600 and 1,862,014,648 is: 2,877,287,427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,988,600 : 1,862,014,648 = 1,862,014,648 : x
  2. Step 2: Convert to fraction form
    1,204,988,600/1,862,014,648 = 1,862,014,648/x
  3. Step 3: Cross multiply
    1,204,988,600x = 1,862,014,648 × 1,862,014,648
  4. Step 4: Simplify right side
    1,204,988,600x = 3,467,098,549,366,563,840
  5. Step 5: Solve for x
    x = 3,467,098,549,366,563,840/1,204,988,600
  6. Step 6: Final answer
    x = 2,877,287,427.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.