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Finding the Third Proportional to 9,697,038 and 14,461,476

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Solution

The third proportional to 9,697,038 and 14,461,476 is: 21,566,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697,038 : 14,461,476 = 14,461,476 : x
  2. Step 2: Convert to fraction form
    9,697,038/14,461,476 = 14,461,476/x
  3. Step 3: Cross multiply
    9,697,038x = 14,461,476 × 14,461,476
  4. Step 4: Simplify right side
    9,697,038x = 209,134,288,098,576
  5. Step 5: Solve for x
    x = 209,134,288,098,576/9,697,038
  6. Step 6: Final answer
    x = 21,566,821.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.