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Finding the Third Proportional to 528,866,452,807 and 1,133,182,650,253

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Solution

The third proportional to 528,866,452,807 and 1,133,182,650,253 is: 2,428,028,686,673.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,866,452,807 : 1,133,182,650,253 = 1,133,182,650,253 : x
  2. Step 2: Convert to fraction form
    528,866,452,807/1,133,182,650,253 = 1,133,182,650,253/x
  3. Step 3: Cross multiply
    528,866,452,807x = 1,133,182,650,253 × 1,133,182,650,253
  4. Step 4: Simplify right side
    528,866,452,807x = 1,284,102,918,834,412,889,047,040
  5. Step 5: Solve for x
    x = 1,284,102,918,834,412,889,047,040/528,866,452,807
  6. Step 6: Final answer
    x = 2,428,028,686,673.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.