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Finding the Third Proportional to 572,602,981,733 and 1,245,737,955,955

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Solution

The third proportional to 572,602,981,733 and 1,245,737,955,955 is: 2,710,190,314,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,602,981,733 : 1,245,737,955,955 = 1,245,737,955,955 : x
  2. Step 2: Convert to fraction form
    572,602,981,733/1,245,737,955,955 = 1,245,737,955,955/x
  3. Step 3: Cross multiply
    572,602,981,733x = 1,245,737,955,955 × 1,245,737,955,955
  4. Step 4: Simplify right side
    572,602,981,733x = 1,551,863,054,906,941,545,381,888
  5. Step 5: Solve for x
    x = 1,551,863,054,906,941,545,381,888/572,602,981,733
  6. Step 6: Final answer
    x = 2,710,190,314,081.46

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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.