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Finding the Third Proportional to 14,197,824 and 21,289,792

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Solution

The third proportional to 14,197,824 and 21,289,792 is: 31,924,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197,824 : 21,289,792 = 21,289,792 : x
  2. Step 2: Convert to fraction form
    14,197,824/21,289,792 = 21,289,792/x
  3. Step 3: Cross multiply
    14,197,824x = 21,289,792 × 21,289,792
  4. Step 4: Simplify right side
    14,197,824x = 453,255,243,403,264
  5. Step 5: Solve for x
    x = 453,255,243,403,264/14,197,824
  6. Step 6: Final answer
    x = 31,924,275.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.