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Finding the Third Proportional to 1,298,616,551.25 and 2,781,111,723

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Solution

The third proportional to 1,298,616,551.25 and 2,781,111,723 is: 5,956,017,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298,616,551.25 : 2,781,111,723 = 2,781,111,723 : x
  2. Step 2: Convert to fraction form
    1,298,616,551.25/2,781,111,723 = 2,781,111,723/x
  3. Step 3: Cross multiply
    1,298,616,551.25x = 2,781,111,723 × 2,781,111,723
  4. Step 4: Simplify right side
    1,298,616,551.25x = 7,734,582,415,808,028,672
  5. Step 5: Solve for x
    x = 7,734,582,415,808,028,672/1,298,616,551.25
  6. Step 6: Final answer
    x = 5,956,017,123.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.