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Finding the Third Proportional to 8,975,974 and 19,473,740

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Solution

The third proportional to 8,975,974 and 19,473,740 is: 42,249,069.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975,974 : 19,473,740 = 19,473,740 : x
  2. Step 2: Convert to fraction form
    8,975,974/19,473,740 = 19,473,740/x
  3. Step 3: Cross multiply
    8,975,974x = 19,473,740 × 19,473,740
  4. Step 4: Simplify right side
    8,975,974x = 379,226,549,587,600
  5. Step 5: Solve for x
    x = 379,226,549,587,600/8,975,974
  6. Step 6: Final answer
    x = 42,249,069.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.