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Finding the Third Proportional to 13,566,468 and 29,572,184

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Solution

The third proportional to 13,566,468 and 29,572,184 is: 64,461,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,566,468 : 29,572,184 = 29,572,184 : x
  2. Step 2: Convert to fraction form
    13,566,468/29,572,184 = 29,572,184/x
  3. Step 3: Cross multiply
    13,566,468x = 29,572,184 × 29,572,184
  4. Step 4: Simplify right side
    13,566,468x = 874,514,066,529,856
  5. Step 5: Solve for x
    x = 874,514,066,529,856/13,566,468
  6. Step 6: Final answer
    x = 64,461,440.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.