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Finding the Third Proportional to 15,237,633 and 32,541,798

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Solution

The third proportional to 15,237,633 and 32,541,798 is: 69,496,923.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,237,633 : 32,541,798 = 32,541,798 : x
  2. Step 2: Convert to fraction form
    15,237,633/32,541,798 = 32,541,798/x
  3. Step 3: Cross multiply
    15,237,633x = 32,541,798 × 32,541,798
  4. Step 4: Simplify right side
    15,237,633x = 1,058,968,617,072,804
  5. Step 5: Solve for x
    x = 1,058,968,617,072,804/15,237,633
  6. Step 6: Final answer
    x = 69,496,923.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.