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Finding the Third Proportional to 30,475,276 and 65,083,616

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Solution

The third proportional to 30,475,276 and 65,083,616 is: 138,993,887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475,276 : 65,083,616 = 65,083,616 : x
  2. Step 2: Convert to fraction form
    30,475,276/65,083,616 = 65,083,616/x
  3. Step 3: Cross multiply
    30,475,276x = 65,083,616 × 65,083,616
  4. Step 4: Simplify right side
    30,475,276x = 4,235,877,071,635,456
  5. Step 5: Solve for x
    x = 4,235,877,071,635,456/30,475,276
  6. Step 6: Final answer
    x = 138,993,887.10

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