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Finding the Third Proportional to 5,458,087,305.50 and 8,165,312,315

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Solution

The third proportional to 5,458,087,305.50 and 8,165,312,315 is: 12,215,327,727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458,087,305.50 : 8,165,312,315 = 8,165,312,315 : x
  2. Step 2: Convert to fraction form
    5,458,087,305.50/8,165,312,315 = 8,165,312,315/x
  3. Step 3: Cross multiply
    5,458,087,305.50x = 8,165,312,315 × 8,165,312,315
  4. Step 4: Simplify right side
    5,458,087,305.50x = 66,672,325,201,490,657,280
  5. Step 5: Solve for x
    x = 66,672,325,201,490,657,280/5,458,087,305.50
  6. Step 6: Final answer
    x = 12,215,327,727.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.