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Finding the Third Proportional to 528,866,452,801.50 and 1,133,182,650,243

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Solution

The third proportional to 528,866,452,801.50 and 1,133,182,650,243 is: 2,428,028,686,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,866,452,801.50 : 1,133,182,650,243 = 1,133,182,650,243 : x
  2. Step 2: Convert to fraction form
    528,866,452,801.50/1,133,182,650,243 = 1,133,182,650,243/x
  3. Step 3: Cross multiply
    528,866,452,801.50x = 1,133,182,650,243 × 1,133,182,650,243
  4. Step 4: Simplify right side
    528,866,452,801.50x = 1,284,102,918,811,749,151,932,416
  5. Step 5: Solve for x
    x = 1,284,102,918,811,749,151,932,416/528,866,452,801.50
  6. Step 6: Final answer
    x = 2,428,028,686,655.44

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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.