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Finding the Third Proportional to 9,644,148 and 14,590,207.50

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Solution

The third proportional to 9,644,148 and 14,590,207.50 is: 22,072,883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644,148 : 14,590,207.50 = 14,590,207.50 : x
  2. Step 2: Convert to fraction form
    9,644,148/14,590,207.50 = 14,590,207.50/x
  3. Step 3: Cross multiply
    9,644,148x = 14,590,207.50 × 14,590,207.50
  4. Step 4: Simplify right side
    9,644,148x = 212,874,154,893,056.25
  5. Step 5: Solve for x
    x = 212,874,154,893,056.25/9,644,148
  6. Step 6: Final answer
    x = 22,072,883.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.