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Finding the Third Proportional to 1,500,792,714 and 3,259,938,393

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Solution

The third proportional to 1,500,792,714 and 3,259,938,393 is: 7,081,056,715.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,792,714 : 3,259,938,393 = 3,259,938,393 : x
  2. Step 2: Convert to fraction form
    1,500,792,714/3,259,938,393 = 3,259,938,393/x
  3. Step 3: Cross multiply
    1,500,792,714x = 3,259,938,393 × 3,259,938,393
  4. Step 4: Simplify right side
    1,500,792,714x = 10,627,198,326,155,421,696
  5. Step 5: Solve for x
    x = 10,627,198,326,155,421,696/1,500,792,714
  6. Step 6: Final answer
    x = 7,081,056,715.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.