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Finding the Third Proportional to 886,434,308,255.25 and 1,797,534,692,730

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Solution

The third proportional to 886,434,308,255.25 and 1,797,534,692,730 is: 3,645,087,900,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,434,308,255.25 : 1,797,534,692,730 = 1,797,534,692,730 : x
  2. Step 2: Convert to fraction form
    886,434,308,255.25/1,797,534,692,730 = 1,797,534,692,730/x
  3. Step 3: Cross multiply
    886,434,308,255.25x = 1,797,534,692,730 × 1,797,534,692,730
  4. Step 4: Simplify right side
    886,434,308,255.25x = 3,231,130,971,567,935,285,362,688
  5. Step 5: Solve for x
    x = 3,231,130,971,567,935,285,362,688/886,434,308,255.25
  6. Step 6: Final answer
    x = 3,645,087,900,453.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.