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Finding the Third Proportional to 12,397,312 and 19,546,769

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Solution

The third proportional to 12,397,312 and 19,546,769 is: 30,819,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397,312 : 19,546,769 = 19,546,769 : x
  2. Step 2: Convert to fraction form
    12,397,312/19,546,769 = 19,546,769/x
  3. Step 3: Cross multiply
    12,397,312x = 19,546,769 × 19,546,769
  4. Step 4: Simplify right side
    12,397,312x = 382,076,178,339,361
  5. Step 5: Solve for x
    x = 382,076,178,339,361/12,397,312
  6. Step 6: Final answer
    x = 30,819,275.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.