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Finding the Third Proportional to 9,492,264 and 19,657,444

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Solution

The third proportional to 9,492,264 and 19,657,444 is: 40,708,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492,264 : 19,657,444 = 19,657,444 : x
  2. Step 2: Convert to fraction form
    9,492,264/19,657,444 = 19,657,444/x
  3. Step 3: Cross multiply
    9,492,264x = 19,657,444 × 19,657,444
  4. Step 4: Simplify right side
    9,492,264x = 386,415,104,613,136
  5. Step 5: Solve for x
    x = 386,415,104,613,136/9,492,264
  6. Step 6: Final answer
    x = 40,708,423.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.