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Finding the Third Proportional to 4,525,292,534 and 9,742,190,635

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Solution

The third proportional to 4,525,292,534 and 9,742,190,635 is: 20,973,291,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,525,292,534 : 9,742,190,635 = 9,742,190,635 : x
  2. Step 2: Convert to fraction form
    4,525,292,534/9,742,190,635 = 9,742,190,635/x
  3. Step 3: Cross multiply
    4,525,292,534x = 9,742,190,635 × 9,742,190,635
  4. Step 4: Simplify right side
    4,525,292,534x = 94,910,278,368,681,705,472
  5. Step 5: Solve for x
    x = 94,910,278,368,681,705,472/4,525,292,534
  6. Step 6: Final answer
    x = 20,973,291,263.62

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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.