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Finding the Third Proportional to 19,619,126.44 and 45,824,547.66

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Solution

The third proportional to 19,619,126.44 and 45,824,547.66 is: 107,032,755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,619,126.44 : 45,824,547.66 = 45,824,547.66 : x
  2. Step 2: Convert to fraction form
    19,619,126.44/45,824,547.66 = 45,824,547.66/x
  3. Step 3: Cross multiply
    19,619,126.44x = 45,824,547.66 × 45,824,547.66
  4. Step 4: Simplify right side
    19,619,126.44x = 2,099,889,167,899,927.25
  5. Step 5: Solve for x
    x = 2,099,889,167,899,927.25/19,619,126.44
  6. Step 6: Final answer
    x = 107,032,755.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.