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Finding the Third Proportional to 19,772,076,034.50 and 29,841,983,412

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Solution

The third proportional to 19,772,076,034.50 and 29,841,983,412 is: 45,040,489,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772,076,034.50 : 29,841,983,412 = 29,841,983,412 : x
  2. Step 2: Convert to fraction form
    19,772,076,034.50/29,841,983,412 = 29,841,983,412/x
  3. Step 3: Cross multiply
    19,772,076,034.50x = 29,841,983,412 × 29,841,983,412
  4. Step 4: Simplify right side
    19,772,076,034.50x = 890,543,973,962,083,205,120
  5. Step 5: Solve for x
    x = 890,543,973,962,083,205,120/19,772,076,034.50
  6. Step 6: Final answer
    x = 45,040,489,041.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.