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Finding the Third Proportional to 6,457,396 and 13,584,032

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Solution

The third proportional to 6,457,396 and 13,584,032 is: 28,575,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457,396 : 13,584,032 = 13,584,032 : x
  2. Step 2: Convert to fraction form
    6,457,396/13,584,032 = 13,584,032/x
  3. Step 3: Cross multiply
    6,457,396x = 13,584,032 × 13,584,032
  4. Step 4: Simplify right side
    6,457,396x = 184,525,925,377,024
  5. Step 5: Solve for x
    x = 184,525,925,377,024/6,457,396
  6. Step 6: Final answer
    x = 28,575,903.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.