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Finding the Third Proportional to 8,975,970 and 19,473,732

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Solution

The third proportional to 8,975,970 and 19,473,732 is: 42,249,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975,970 : 19,473,732 = 19,473,732 : x
  2. Step 2: Convert to fraction form
    8,975,970/19,473,732 = 19,473,732/x
  3. Step 3: Cross multiply
    8,975,970x = 19,473,732 × 19,473,732
  4. Step 4: Simplify right side
    8,975,970x = 379,226,238,007,824
  5. Step 5: Solve for x
    x = 379,226,238,007,824/8,975,970
  6. Step 6: Final answer
    x = 42,249,053.64

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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.