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Finding the Third Proportional to 572,602,981,729 and 1,245,737,955,946

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Solution

The third proportional to 572,602,981,729 and 1,245,737,955,946 is: 2,710,190,314,061.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,602,981,729 : 1,245,737,955,946 = 1,245,737,955,946 : x
  2. Step 2: Convert to fraction form
    572,602,981,729/1,245,737,955,946 = 1,245,737,955,946/x
  3. Step 3: Cross multiply
    572,602,981,729x = 1,245,737,955,946 × 1,245,737,955,946
  4. Step 4: Simplify right side
    572,602,981,729x = 1,551,863,054,884,518,326,435,840
  5. Step 5: Solve for x
    x = 1,551,863,054,884,518,326,435,840/572,602,981,729
  6. Step 6: Final answer
    x = 2,710,190,314,061.24

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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.