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Finding the Third Proportional to 10,263,907 and 14,349,547

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Solution

The third proportional to 10,263,907 and 14,349,547 is: 20,061,512.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263,907 : 14,349,547 = 14,349,547 : x
  2. Step 2: Convert to fraction form
    10,263,907/14,349,547 = 14,349,547/x
  3. Step 3: Cross multiply
    10,263,907x = 14,349,547 × 14,349,547
  4. Step 4: Simplify right side
    10,263,907x = 205,909,499,105,209
  5. Step 5: Solve for x
    x = 205,909,499,105,209/10,263,907
  6. Step 6: Final answer
    x = 20,061,512.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.