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Finding the Third Proportional to 2,721,948,566 and 4,203,804,921

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Solution

The third proportional to 2,721,948,566 and 4,203,804,921 is: 6,492,398,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721,948,566 : 4,203,804,921 = 4,203,804,921 : x
  2. Step 2: Convert to fraction form
    2,721,948,566/4,203,804,921 = 4,203,804,921/x
  3. Step 3: Cross multiply
    2,721,948,566x = 4,203,804,921 × 4,203,804,921
  4. Step 4: Simplify right side
    2,721,948,566x = 17,671,975,813,823,815,680
  5. Step 5: Solve for x
    x = 17,671,975,813,823,815,680/2,721,948,566
  6. Step 6: Final answer
    x = 6,492,398,877.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.