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Finding the Third Proportional to 2,590,604,073 and 3,788,751,813.75

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Solution

The third proportional to 2,590,604,073 and 3,788,751,813.75 is: 5,541,039,812.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590,604,073 : 3,788,751,813.75 = 3,788,751,813.75 : x
  2. Step 2: Convert to fraction form
    2,590,604,073/3,788,751,813.75 = 3,788,751,813.75/x
  3. Step 3: Cross multiply
    2,590,604,073x = 3,788,751,813.75 × 3,788,751,813.75
  4. Step 4: Simplify right side
    2,590,604,073x = 14,354,640,306,193,913,856
  5. Step 5: Solve for x
    x = 14,354,640,306,193,913,856/2,590,604,073
  6. Step 6: Final answer
    x = 5,541,039,812.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.