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Finding the Third Proportional to 18,924,642 and 29,648,376

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Solution

The third proportional to 18,924,642 and 29,648,376 is: 46,448,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,924,642 : 29,648,376 = 29,648,376 : x
  2. Step 2: Convert to fraction form
    18,924,642/29,648,376 = 29,648,376/x
  3. Step 3: Cross multiply
    18,924,642x = 29,648,376 × 29,648,376
  4. Step 4: Simplify right side
    18,924,642x = 879,026,199,437,376
  5. Step 5: Solve for x
    x = 879,026,199,437,376/18,924,642
  6. Step 6: Final answer
    x = 46,448,762.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.