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Finding the Third Proportional to 4,525,292,535 and 9,742,190,636

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Solution

The third proportional to 4,525,292,535 and 9,742,190,636 is: 20,973,291,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,525,292,535 : 9,742,190,636 = 9,742,190,636 : x
  2. Step 2: Convert to fraction form
    4,525,292,535/9,742,190,636 = 9,742,190,636/x
  3. Step 3: Cross multiply
    4,525,292,535x = 9,742,190,636 × 9,742,190,636
  4. Step 4: Simplify right side
    4,525,292,535x = 94,910,278,388,166,082,560
  5. Step 5: Solve for x
    x = 94,910,278,388,166,082,560/4,525,292,535
  6. Step 6: Final answer
    x = 20,973,291,263.29

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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.