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Finding the Third Proportional to 5,117,777,840 and 7,862,900,032

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Solution

The third proportional to 5,117,777,840 and 7,862,900,032 is: 12,080,476,887.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117,777,840 : 7,862,900,032 = 7,862,900,032 : x
  2. Step 2: Convert to fraction form
    5,117,777,840/7,862,900,032 = 7,862,900,032/x
  3. Step 3: Cross multiply
    5,117,777,840x = 7,862,900,032 × 7,862,900,032
  4. Step 4: Simplify right side
    5,117,777,840x = 61,825,196,913,225,596,928
  5. Step 5: Solve for x
    x = 61,825,196,913,225,596,928/5,117,777,840
  6. Step 6: Final answer
    x = 12,080,476,887.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.