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Finding the Third Proportional to 9,580,973,526 and 20,968,100,964

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Solution

The third proportional to 9,580,973,526 and 20,968,100,964 is: 45,888,996,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580,973,526 : 20,968,100,964 = 20,968,100,964 : x
  2. Step 2: Convert to fraction form
    9,580,973,526/20,968,100,964 = 20,968,100,964/x
  3. Step 3: Cross multiply
    9,580,973,526x = 20,968,100,964 × 20,968,100,964
  4. Step 4: Simplify right side
    9,580,973,526x = 439,661,258,036,497,743,872
  5. Step 5: Solve for x
    x = 439,661,258,036,497,743,872/9,580,973,526
  6. Step 6: Final answer
    x = 45,888,996,232.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.