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Finding the Third Proportional to 10,600,474,526 and 15,696,038,023

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Solution

The third proportional to 10,600,474,526 and 15,696,038,023 is: 23,240,998,222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600,474,526 : 15,696,038,023 = 15,696,038,023 : x
  2. Step 2: Convert to fraction form
    10,600,474,526/15,696,038,023 = 15,696,038,023/x
  3. Step 3: Cross multiply
    10,600,474,526x = 15,696,038,023 × 15,696,038,023
  4. Step 4: Simplify right side
    10,600,474,526x = 246,365,609,619,461,734,400
  5. Step 5: Solve for x
    x = 246,365,609,619,461,734,400/10,600,474,526
  6. Step 6: Final answer
    x = 23,240,998,222.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.