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Finding the Third Proportional to 6,289,772 and 13,477,024

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Solution

The third proportional to 6,289,772 and 13,477,024 is: 28,877,068.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289,772 : 13,477,024 = 13,477,024 : x
  2. Step 2: Convert to fraction form
    6,289,772/13,477,024 = 13,477,024/x
  3. Step 3: Cross multiply
    6,289,772x = 13,477,024 × 13,477,024
  4. Step 4: Simplify right side
    6,289,772x = 181,630,175,896,576
  5. Step 5: Solve for x
    x = 181,630,175,896,576/6,289,772
  6. Step 6: Final answer
    x = 28,877,068.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.