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Finding the Third Proportional to 6,371,086 and 13,756,445

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Solution

The third proportional to 6,371,086 and 13,756,445 is: 29,702,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371,086 : 13,756,445 = 13,756,445 : x
  2. Step 2: Convert to fraction form
    6,371,086/13,756,445 = 13,756,445/x
  3. Step 3: Cross multiply
    6,371,086x = 13,756,445 × 13,756,445
  4. Step 4: Simplify right side
    6,371,086x = 189,239,779,038,025
  5. Step 5: Solve for x
    x = 189,239,779,038,025/6,371,086
  6. Step 6: Final answer
    x = 29,702,907.64

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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.