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Finding the Third Proportional to 10,746,672 and 22,706,304

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Solution

The third proportional to 10,746,672 and 22,706,304 is: 47,975,432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746,672 : 22,706,304 = 22,706,304 : x
  2. Step 2: Convert to fraction form
    10,746,672/22,706,304 = 22,706,304/x
  3. Step 3: Cross multiply
    10,746,672x = 22,706,304 × 22,706,304
  4. Step 4: Simplify right side
    10,746,672x = 515,576,241,340,416
  5. Step 5: Solve for x
    x = 515,576,241,340,416/10,746,672
  6. Step 6: Final answer
    x = 47,975,432.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.