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Finding the Third Proportional to 27,788,460,938 and 42,937,778,631

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Solution

The third proportional to 27,788,460,938 and 42,937,778,631 is: 66,345,985,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,788,460,938 : 42,937,778,631 = 42,937,778,631 : x
  2. Step 2: Convert to fraction form
    27,788,460,938/42,937,778,631 = 42,937,778,631/x
  3. Step 3: Cross multiply
    27,788,460,938x = 42,937,778,631 × 42,937,778,631
  4. Step 4: Simplify right side
    27,788,460,938x = 1,843,652,833,764,760,354,816
  5. Step 5: Solve for x
    x = 1,843,652,833,764,760,354,816/27,788,460,938
  6. Step 6: Final answer
    x = 66,345,985,762.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.