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Finding the Third Proportional to 5,805,477,108 and 8,964,862,677

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Solution

The third proportional to 5,805,477,108 and 8,964,862,677 is: 13,843,610,322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805,477,108 : 8,964,862,677 = 8,964,862,677 : x
  2. Step 2: Convert to fraction form
    5,805,477,108/8,964,862,677 = 8,964,862,677/x
  3. Step 3: Cross multiply
    5,805,477,108x = 8,964,862,677 × 8,964,862,677
  4. Step 4: Simplify right side
    5,805,477,108x = 80,368,762,817,467,613,184
  5. Step 5: Solve for x
    x = 80,368,762,817,467,613,184/5,805,477,108
  6. Step 6: Final answer
    x = 13,843,610,322.18

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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.