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Finding the Third Proportional to 27,788,460,936 and 42,937,778,628

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Solution

The third proportional to 27,788,460,936 and 42,937,778,628 is: 66,345,985,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,788,460,936 : 42,937,778,628 = 42,937,778,628 : x
  2. Step 2: Convert to fraction form
    27,788,460,936/42,937,778,628 = 42,937,778,628/x
  3. Step 3: Cross multiply
    27,788,460,936x = 42,937,778,628 × 42,937,778,628
  4. Step 4: Simplify right side
    27,788,460,936x = 1,843,652,833,507,133,620,224
  5. Step 5: Solve for x
    x = 1,843,652,833,507,133,620,224/27,788,460,936
  6. Step 6: Final answer
    x = 66,345,985,758.38

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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.