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Finding the Third Proportional to 9,698,985 and 14,588,971.50

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Solution

The third proportional to 9,698,985 and 14,588,971.50 is: 21,944,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698,985 : 14,588,971.50 = 14,588,971.50 : x
  2. Step 2: Convert to fraction form
    9,698,985/14,588,971.50 = 14,588,971.50/x
  3. Step 3: Cross multiply
    9,698,985x = 14,588,971.50 × 14,588,971.50
  4. Step 4: Simplify right side
    9,698,985x = 212,838,089,427,812.25
  5. Step 5: Solve for x
    x = 212,838,089,427,812.25/9,698,985
  6. Step 6: Final answer
    x = 21,944,367.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.