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Finding the Third Proportional to 1,245,806,078 and 2,688,587,020

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Solution

The third proportional to 1,245,806,078 and 2,688,587,020 is: 5,802,267,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,806,078 : 2,688,587,020 = 2,688,587,020 : x
  2. Step 2: Convert to fraction form
    1,245,806,078/2,688,587,020 = 2,688,587,020/x
  3. Step 3: Cross multiply
    1,245,806,078x = 2,688,587,020 × 2,688,587,020
  4. Step 4: Simplify right side
    1,245,806,078x = 7,228,500,164,112,480,256
  5. Step 5: Solve for x
    x = 7,228,500,164,112,480,256/1,245,806,078
  6. Step 6: Final answer
    x = 5,802,267,537.27

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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.