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Finding the Third Proportional to 4,683,798 and 9,985,963.50

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Solution

The third proportional to 4,683,798 and 9,985,963.50 is: 21,290,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683,798 : 9,985,963.50 = 9,985,963.50 : x
  2. Step 2: Convert to fraction form
    4,683,798/9,985,963.50 = 9,985,963.50/x
  3. Step 3: Cross multiply
    4,683,798x = 9,985,963.50 × 9,985,963.50
  4. Step 4: Simplify right side
    4,683,798x = 99,719,467,023,332.25
  5. Step 5: Solve for x
    x = 99,719,467,023,332.25/4,683,798
  6. Step 6: Final answer
    x = 21,290,300.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.