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Finding the Third Proportional to 9,843,776 and 15,406,822

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Solution

The third proportional to 9,843,776 and 15,406,822 is: 24,113,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,776 : 15,406,822 = 15,406,822 : x
  2. Step 2: Convert to fraction form
    9,843,776/15,406,822 = 15,406,822/x
  3. Step 3: Cross multiply
    9,843,776x = 15,406,822 × 15,406,822
  4. Step 4: Simplify right side
    9,843,776x = 237,370,164,139,684
  5. Step 5: Solve for x
    x = 237,370,164,139,684/9,843,776
  6. Step 6: Final answer
    x = 24,113,730.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.