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Finding the Third Proportional to 23,765,412 and 34,646,646

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Solution

The third proportional to 23,765,412 and 34,646,646 is: 50,509,962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765,412 : 34,646,646 = 34,646,646 : x
  2. Step 2: Convert to fraction form
    23,765,412/34,646,646 = 34,646,646/x
  3. Step 3: Cross multiply
    23,765,412x = 34,646,646 × 34,646,646
  4. Step 4: Simplify right side
    23,765,412x = 1,200,390,079,049,316
  5. Step 5: Solve for x
    x = 1,200,390,079,049,316/23,765,412
  6. Step 6: Final answer
    x = 50,509,962.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.