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Finding the Third Proportional to 572,602,981,731 and 1,245,737,955,951

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Solution

The third proportional to 572,602,981,731 and 1,245,737,955,951 is: 2,710,190,314,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,602,981,731 : 1,245,737,955,951 = 1,245,737,955,951 : x
  2. Step 2: Convert to fraction form
    572,602,981,731/1,245,737,955,951 = 1,245,737,955,951/x
  3. Step 3: Cross multiply
    572,602,981,731x = 1,245,737,955,951 × 1,245,737,955,951
  4. Step 4: Simplify right side
    572,602,981,731x = 1,551,863,054,896,975,610,642,432
  5. Step 5: Solve for x
    x = 1,551,863,054,896,975,610,642,432/572,602,981,731
  6. Step 6: Final answer
    x = 2,710,190,314,073.53

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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.