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Finding the Third Proportional to 3,634,455,846 and 7,905,705,960

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Solution

The third proportional to 3,634,455,846 and 7,905,705,960 is: 17,196,573,400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634,455,846 : 7,905,705,960 = 7,905,705,960 : x
  2. Step 2: Convert to fraction form
    3,634,455,846/7,905,705,960 = 7,905,705,960/x
  3. Step 3: Cross multiply
    3,634,455,846x = 7,905,705,960 × 7,905,705,960
  4. Step 4: Simplify right side
    3,634,455,846x = 62,500,186,725,979,521,024
  5. Step 5: Solve for x
    x = 62,500,186,725,979,521,024/3,634,455,846
  6. Step 6: Final answer
    x = 17,196,573,400.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.