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Finding the Third Proportional to 7,716,972 and 11,352,402

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Solution

The third proportional to 7,716,972 and 11,352,402 is: 16,700,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716,972 : 11,352,402 = 11,352,402 : x
  2. Step 2: Convert to fraction form
    7,716,972/11,352,402 = 11,352,402/x
  3. Step 3: Cross multiply
    7,716,972x = 11,352,402 × 11,352,402
  4. Step 4: Simplify right side
    7,716,972x = 128,877,031,169,604
  5. Step 5: Solve for x
    x = 128,877,031,169,604/7,716,972
  6. Step 6: Final answer
    x = 16,700,466.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.