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Finding the Third Proportional to 12,913,824 and 28,346,748

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Solution

The third proportional to 12,913,824 and 28,346,748 is: 62,223,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913,824 : 28,346,748 = 28,346,748 : x
  2. Step 2: Convert to fraction form
    12,913,824/28,346,748 = 28,346,748/x
  3. Step 3: Cross multiply
    12,913,824x = 28,346,748 × 28,346,748
  4. Step 4: Simplify right side
    12,913,824x = 803,538,122,175,504
  5. Step 5: Solve for x
    x = 803,538,122,175,504/12,913,824
  6. Step 6: Final answer
    x = 62,223,096.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.