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Finding the Third Proportional to 528,866,452,808 and 1,133,182,650,255

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Solution

The third proportional to 528,866,452,808 and 1,133,182,650,255 is: 2,428,028,686,677.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,866,452,808 : 1,133,182,650,255 = 1,133,182,650,255 : x
  2. Step 2: Convert to fraction form
    528,866,452,808/1,133,182,650,255 = 1,133,182,650,255/x
  3. Step 3: Cross multiply
    528,866,452,808x = 1,133,182,650,255 × 1,133,182,650,255
  4. Step 4: Simplify right side
    528,866,452,808x = 1,284,102,918,838,945,690,157,056
  5. Step 5: Solve for x
    x = 1,284,102,918,838,945,690,157,056/528,866,452,808
  6. Step 6: Final answer
    x = 2,428,028,686,677.03

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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.