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Finding the Third Proportional to 386,158,295,842 and 831,333,600,068

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Solution

The third proportional to 386,158,295,842 and 831,333,600,068 is: 1,789,720,852,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,158,295,842 : 831,333,600,068 = 831,333,600,068 : x
  2. Step 2: Convert to fraction form
    386,158,295,842/831,333,600,068 = 831,333,600,068/x
  3. Step 3: Cross multiply
    386,158,295,842x = 831,333,600,068 × 831,333,600,068
  4. Step 4: Simplify right side
    386,158,295,842x = 691,115,554,602,021,382,258,688
  5. Step 5: Solve for x
    x = 691,115,554,602,021,382,258,688/386,158,295,842
  6. Step 6: Final answer
    x = 1,789,720,852,934.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.