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Finding the Third Proportional to 10,641,675,897 and 14,966,805,165.75

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Solution

The third proportional to 10,641,675,897 and 14,966,805,165.75 is: 21,049,810,108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641,675,897 : 14,966,805,165.75 = 14,966,805,165.75 : x
  2. Step 2: Convert to fraction form
    10,641,675,897/14,966,805,165.75 = 14,966,805,165.75/x
  3. Step 3: Cross multiply
    10,641,675,897x = 14,966,805,165.75 × 14,966,805,165.75
  4. Step 4: Simplify right side
    10,641,675,897x = 224,005,256,869,520,900,096
  5. Step 5: Solve for x
    x = 224,005,256,869,520,900,096/10,641,675,897
  6. Step 6: Final answer
    x = 21,049,810,108.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.