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Finding the Third Proportional to 5,415,964 and 11,678,312

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Solution

The third proportional to 5,415,964 and 11,678,312 is: 25,181,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415,964 : 11,678,312 = 11,678,312 : x
  2. Step 2: Convert to fraction form
    5,415,964/11,678,312 = 11,678,312/x
  3. Step 3: Cross multiply
    5,415,964x = 11,678,312 × 11,678,312
  4. Step 4: Simplify right side
    5,415,964x = 136,382,971,169,344
  5. Step 5: Solve for x
    x = 136,382,971,169,344/5,415,964
  6. Step 6: Final answer
    x = 25,181,661.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.