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Finding the Third Proportional to 644,414,842,368 and 1,010,896,719,696

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Solution

The third proportional to 644,414,842,368 and 1,010,896,719,696 is: 1,585,798,635,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,414,842,368 : 1,010,896,719,696 = 1,010,896,719,696 : x
  2. Step 2: Convert to fraction form
    644,414,842,368/1,010,896,719,696 = 1,010,896,719,696/x
  3. Step 3: Cross multiply
    644,414,842,368x = 1,010,896,719,696 × 1,010,896,719,696
  4. Step 4: Simplify right side
    644,414,842,368x = 1,021,912,177,892,133,198,364,672
  5. Step 5: Solve for x
    x = 1,021,912,177,892,133,198,364,672/644,414,842,368
  6. Step 6: Final answer
    x = 1,585,798,635,762.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.