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Finding the Third Proportional to 698,878,931.20 and 1,552,899,029.20

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Solution

The third proportional to 698,878,931.20 and 1,552,899,029.20 is: 3,450,519,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,878,931.20 : 1,552,899,029.20 = 1,552,899,029.20 : x
  2. Step 2: Convert to fraction form
    698,878,931.20/1,552,899,029.20 = 1,552,899,029.20/x
  3. Step 3: Cross multiply
    698,878,931.20x = 1,552,899,029.20 × 1,552,899,029.20
  4. Step 4: Simplify right side
    698,878,931.20x = 2,411,495,394,899,930,112
  5. Step 5: Solve for x
    x = 2,411,495,394,899,930,112/698,878,931.20
  6. Step 6: Final answer
    x = 3,450,519,520.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.