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Finding the Third Proportional to 7,730,444 and 16,396,312

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Solution

The third proportional to 7,730,444 and 16,396,312 is: 34,776,663.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730,444 : 16,396,312 = 16,396,312 : x
  2. Step 2: Convert to fraction form
    7,730,444/16,396,312 = 16,396,312/x
  3. Step 3: Cross multiply
    7,730,444x = 16,396,312 × 16,396,312
  4. Step 4: Simplify right side
    7,730,444x = 268,839,047,201,344
  5. Step 5: Solve for x
    x = 268,839,047,201,344/7,730,444
  6. Step 6: Final answer
    x = 34,776,663.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.