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Finding the Third Proportional to 17,748,294 and 25,362,723

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Solution

The third proportional to 17,748,294 and 25,362,723 is: 36,243,918.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,748,294 : 25,362,723 = 25,362,723 : x
  2. Step 2: Convert to fraction form
    17,748,294/25,362,723 = 25,362,723/x
  3. Step 3: Cross multiply
    17,748,294x = 25,362,723 × 25,362,723
  4. Step 4: Simplify right side
    17,748,294x = 643,267,717,974,729
  5. Step 5: Solve for x
    x = 643,267,717,974,729/17,748,294
  6. Step 6: Final answer
    x = 36,243,918.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.