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Finding the Third Proportional to 34,654,756,798 and 75,953,057,538

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Solution

The third proportional to 34,654,756,798 and 75,953,057,538 is: 166,466,813,863.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,654,756,798 : 75,953,057,538 = 75,953,057,538 : x
  2. Step 2: Convert to fraction form
    34,654,756,798/75,953,057,538 = 75,953,057,538/x
  3. Step 3: Cross multiply
    34,654,756,798x = 75,953,057,538 × 75,953,057,538
  4. Step 4: Simplify right side
    34,654,756,798x = 5,768,866,949,370,738,638,848
  5. Step 5: Solve for x
    x = 5,768,866,949,370,738,638,848/34,654,756,798
  6. Step 6: Final answer
    x = 166,466,813,863.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.