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Finding the Third Proportional to 115,978,294,256 and 249,681,682,952

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Solution

The third proportional to 115,978,294,256 and 249,681,682,952 is: 537,522,501,099.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,978,294,256 : 249,681,682,952 = 249,681,682,952 : x
  2. Step 2: Convert to fraction form
    115,978,294,256/249,681,682,952 = 249,681,682,952/x
  3. Step 3: Cross multiply
    115,978,294,256x = 249,681,682,952 × 249,681,682,952
  4. Step 4: Simplify right side
    115,978,294,256x = 62,340,942,801,743,047,032,832
  5. Step 5: Solve for x
    x = 62,340,942,801,743,047,032,832/115,978,294,256
  6. Step 6: Final answer
    x = 537,522,501,099.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.