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Finding the Third Proportional to 9,701,640 and 21,124,476

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Solution

The third proportional to 9,701,640 and 21,124,476 is: 45,996,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701,640 : 21,124,476 = 21,124,476 : x
  2. Step 2: Convert to fraction form
    9,701,640/21,124,476 = 21,124,476/x
  3. Step 3: Cross multiply
    9,701,640x = 21,124,476 × 21,124,476
  4. Step 4: Simplify right side
    9,701,640x = 446,243,486,274,576
  5. Step 5: Solve for x
    x = 446,243,486,274,576/9,701,640
  6. Step 6: Final answer
    x = 45,996,706.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.