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Finding the Third Proportional to 7,755,464 and 16,506,256

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Solution

The third proportional to 7,755,464 and 16,506,256 is: 35,130,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755,464 : 16,506,256 = 16,506,256 : x
  2. Step 2: Convert to fraction form
    7,755,464/16,506,256 = 16,506,256/x
  3. Step 3: Cross multiply
    7,755,464x = 16,506,256 × 16,506,256
  4. Step 4: Simplify right side
    7,755,464x = 272,456,487,137,536
  5. Step 5: Solve for x
    x = 272,456,487,137,536/7,755,464
  6. Step 6: Final answer
    x = 35,130,907.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.