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Finding the Third Proportional to 10,600,474,521 and 15,696,038,015

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Solution

The third proportional to 10,600,474,521 and 15,696,038,015 is: 23,240,998,210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600,474,521 : 15,696,038,015 = 15,696,038,015 : x
  2. Step 2: Convert to fraction form
    10,600,474,521/15,696,038,015 = 15,696,038,015/x
  3. Step 3: Cross multiply
    10,600,474,521x = 15,696,038,015 × 15,696,038,015
  4. Step 4: Simplify right side
    10,600,474,521x = 246,365,609,368,325,128,192
  5. Step 5: Solve for x
    x = 246,365,609,368,325,128,192/10,600,474,521
  6. Step 6: Final answer
    x = 23,240,998,210.06

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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.