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Finding the Third Proportional to 36,894,076,320,712 and 76,841,853,547,558

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Solution

The third proportional to 36,894,076,320,712 and 76,841,853,547,558 is: 160,043,861,927,762.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,894,076,320,712 : 76,841,853,547,558 = 76,841,853,547,558 : x
  2. Step 2: Convert to fraction form
    36,894,076,320,712/76,841,853,547,558 = 76,841,853,547,558/x
  3. Step 3: Cross multiply
    36,894,076,320,712x = 76,841,853,547,558 × 76,841,853,547,558
  4. Step 4: Simplify right side
    36,894,076,320,712x = 5,904,670,456,624,351,974,638,223,360
  5. Step 5: Solve for x
    x = 5,904,670,456,624,351,974,638,223,360/36,894,076,320,712
  6. Step 6: Final answer
    x = 160,043,861,927,762.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.