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Finding the Third Proportional to 3,709,670,897 and 8,000,456,125

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Solution

The third proportional to 3,709,670,897 and 8,000,456,125 is: 17,254,171,592.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709,670,897 : 8,000,456,125 = 8,000,456,125 : x
  2. Step 2: Convert to fraction form
    3,709,670,897/8,000,456,125 = 8,000,456,125/x
  3. Step 3: Cross multiply
    3,709,670,897x = 8,000,456,125 × 8,000,456,125
  4. Step 4: Simplify right side
    3,709,670,897x = 64,007,298,208,050,012,160
  5. Step 5: Solve for x
    x = 64,007,298,208,050,012,160/3,709,670,897
  6. Step 6: Final answer
    x = 17,254,171,592.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.