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Finding the Third Proportional to 14,575,509 and 31,896,816.75

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Solution

The third proportional to 14,575,509 and 31,896,816.75 is: 69,802,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575,509 : 31,896,816.75 = 31,896,816.75 : x
  2. Step 2: Convert to fraction form
    14,575,509/31,896,816.75 = 31,896,816.75/x
  3. Step 3: Cross multiply
    14,575,509x = 31,896,816.75 × 31,896,816.75
  4. Step 4: Simplify right side
    14,575,509x = 1,017,406,918,783,080.50
  5. Step 5: Solve for x
    x = 1,017,406,918,783,080.50/14,575,509
  6. Step 6: Final answer
    x = 69,802,496.69

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