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Finding the Third Proportional to 975,867,729.25 and 1,486,682,537.25

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Solution

The third proportional to 975,867,729.25 and 1,486,682,537.25 is: 2,264,881,705.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,867,729.25 : 1,486,682,537.25 = 1,486,682,537.25 : x
  2. Step 2: Convert to fraction form
    975,867,729.25/1,486,682,537.25 = 1,486,682,537.25/x
  3. Step 3: Cross multiply
    975,867,729.25x = 1,486,682,537.25 × 1,486,682,537.25
  4. Step 4: Simplify right side
    975,867,729.25x = 2,210,224,966,564,097,536
  5. Step 5: Solve for x
    x = 2,210,224,966,564,097,536/975,867,729.25
  6. Step 6: Final answer
    x = 2,264,881,705.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.