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Finding the Third Proportional to 10,430,106.75 and 15,343,614

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Solution

The third proportional to 10,430,106.75 and 15,343,614 is: 22,571,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430,106.75 : 15,343,614 = 15,343,614 : x
  2. Step 2: Convert to fraction form
    10,430,106.75/15,343,614 = 15,343,614/x
  3. Step 3: Cross multiply
    10,430,106.75x = 15,343,614 × 15,343,614
  4. Step 4: Simplify right side
    10,430,106.75x = 235,426,490,580,996
  5. Step 5: Solve for x
    x = 235,426,490,580,996/10,430,106.75
  6. Step 6: Final answer
    x = 22,571,819.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.