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Finding the Third Proportional to 7,051,824 and 15,277,440

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Solution

The third proportional to 7,051,824 and 15,277,440 is: 33,097,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051,824 : 15,277,440 = 15,277,440 : x
  2. Step 2: Convert to fraction form
    7,051,824/15,277,440 = 15,277,440/x
  3. Step 3: Cross multiply
    7,051,824x = 15,277,440 × 15,277,440
  4. Step 4: Simplify right side
    7,051,824x = 233,400,172,953,600
  5. Step 5: Solve for x
    x = 233,400,172,953,600/7,051,824
  6. Step 6: Final answer
    x = 33,097,844.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.