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Finding the Third Proportional to 572,602,981,728 and 1,245,737,955,944

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Solution

The third proportional to 572,602,981,728 and 1,245,737,955,944 is: 2,710,190,314,057.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,602,981,728 : 1,245,737,955,944 = 1,245,737,955,944 : x
  2. Step 2: Convert to fraction form
    572,602,981,728/1,245,737,955,944 = 1,245,737,955,944/x
  3. Step 3: Cross multiply
    572,602,981,728x = 1,245,737,955,944 × 1,245,737,955,944
  4. Step 4: Simplify right side
    572,602,981,728x = 1,551,863,054,879,535,359,066,112
  5. Step 5: Solve for x
    x = 1,551,863,054,879,535,359,066,112/572,602,981,728
  6. Step 6: Final answer
    x = 2,710,190,314,057.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.