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Finding the Third Proportional to 16,013,100,413 and 33,351,577,501

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Solution

The third proportional to 16,013,100,413 and 33,351,577,501 is: 69,463,607,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013,100,413 : 33,351,577,501 = 33,351,577,501 : x
  2. Step 2: Convert to fraction form
    16,013,100,413/33,351,577,501 = 33,351,577,501/x
  3. Step 3: Cross multiply
    16,013,100,413x = 33,351,577,501 × 33,351,577,501
  4. Step 4: Simplify right side
    16,013,100,413x = 1,112,327,721,805,209,403,392
  5. Step 5: Solve for x
    x = 1,112,327,721,805,209,403,392/16,013,100,413
  6. Step 6: Final answer
    x = 69,463,607,491.16

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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.