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Finding the Third Proportional to 1,245,806,076 and 2,688,587,016

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Solution

The third proportional to 1,245,806,076 and 2,688,587,016 is: 5,802,267,529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,806,076 : 2,688,587,016 = 2,688,587,016 : x
  2. Step 2: Convert to fraction form
    1,245,806,076/2,688,587,016 = 2,688,587,016/x
  3. Step 3: Cross multiply
    1,245,806,076x = 2,688,587,016 × 2,688,587,016
  4. Step 4: Simplify right side
    1,245,806,076x = 7,228,500,142,603,784,192
  5. Step 5: Solve for x
    x = 7,228,500,142,603,784,192/1,245,806,076
  6. Step 6: Final answer
    x = 5,802,267,529.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.