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Finding the Third Proportional to 4,845,897.75 and 7,602,827.63

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Solution

The third proportional to 4,845,897.75 and 7,602,827.63 is: 11,928,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,845,897.75 : 7,602,827.63 = 7,602,827.63 : x
  2. Step 2: Convert to fraction form
    4,845,897.75/7,602,827.63 = 7,602,827.63/x
  3. Step 3: Cross multiply
    4,845,897.75x = 7,602,827.63 × 7,602,827.63
  4. Step 4: Simplify right side
    4,845,897.75x = 57,802,987,895,463.14
  5. Step 5: Solve for x
    x = 57,802,987,895,463.14/4,845,897.75
  6. Step 6: Final answer
    x = 11,928,231.03

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.