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Finding the Third Proportional to 7,460,796 and 16,342,044

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Solution

The third proportional to 7,460,796 and 16,342,044 is: 35,795,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460,796 : 16,342,044 = 16,342,044 : x
  2. Step 2: Convert to fraction form
    7,460,796/16,342,044 = 16,342,044/x
  3. Step 3: Cross multiply
    7,460,796x = 16,342,044 × 16,342,044
  4. Step 4: Simplify right side
    7,460,796x = 267,062,402,097,936
  5. Step 5: Solve for x
    x = 267,062,402,097,936/7,460,796
  6. Step 6: Final answer
    x = 35,795,430.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.