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Finding the Third Proportional to 55,697,897 and 85,148,094

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Solution

The third proportional to 55,697,897 and 85,148,094 is: 130,170,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,697,897 : 85,148,094 = 85,148,094 : x
  2. Step 2: Convert to fraction form
    55,697,897/85,148,094 = 85,148,094/x
  3. Step 3: Cross multiply
    55,697,897x = 85,148,094 × 85,148,094
  4. Step 4: Simplify right side
    55,697,897x = 7,250,197,911,832,836
  5. Step 5: Solve for x
    x = 7,250,197,911,832,836/55,697,897
  6. Step 6: Final answer
    x = 130,170,047.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.