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Finding the Third Proportional to 5,830,153 and 12,808,129

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Solution

The third proportional to 5,830,153 and 12,808,129 is: 28,137,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830,153 : 12,808,129 = 12,808,129 : x
  2. Step 2: Convert to fraction form
    5,830,153/12,808,129 = 12,808,129/x
  3. Step 3: Cross multiply
    5,830,153x = 12,808,129 × 12,808,129
  4. Step 4: Simplify right side
    5,830,153x = 164,048,168,480,641
  5. Step 5: Solve for x
    x = 164,048,168,480,641/5,830,153
  6. Step 6: Final answer
    x = 28,137,883.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.