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Finding the Third Proportional to 6,364,233 and 9,852,461

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Solution

The third proportional to 6,364,233 and 9,852,461 is: 15,252,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364,233 : 9,852,461 = 9,852,461 : x
  2. Step 2: Convert to fraction form
    6,364,233/9,852,461 = 9,852,461/x
  3. Step 3: Cross multiply
    6,364,233x = 9,852,461 × 9,852,461
  4. Step 4: Simplify right side
    6,364,233x = 97,070,987,756,521
  5. Step 5: Solve for x
    x = 97,070,987,756,521/6,364,233
  6. Step 6: Final answer
    x = 15,252,582.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.