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Finding the Third Proportional to 4,525,292,538 and 9,742,190,643

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Solution

The third proportional to 4,525,292,538 and 9,742,190,643 is: 20,973,291,279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,525,292,538 : 9,742,190,643 = 9,742,190,643 : x
  2. Step 2: Convert to fraction form
    4,525,292,538/9,742,190,643 = 9,742,190,643/x
  3. Step 3: Cross multiply
    4,525,292,538x = 9,742,190,643 × 9,742,190,643
  4. Step 4: Simplify right side
    4,525,292,538x = 94,910,278,524,556,754,944
  5. Step 5: Solve for x
    x = 94,910,278,524,556,754,944/4,525,292,538
  6. Step 6: Final answer
    x = 20,973,291,279.53

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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.