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Finding the Third Proportional to 4,706,784 and 10,159,920

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Solution

The third proportional to 4,706,784 and 10,159,920 is: 21,930,892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706,784 : 10,159,920 = 10,159,920 : x
  2. Step 2: Convert to fraction form
    4,706,784/10,159,920 = 10,159,920/x
  3. Step 3: Cross multiply
    4,706,784x = 10,159,920 × 10,159,920
  4. Step 4: Simplify right side
    4,706,784x = 103,223,974,406,400
  5. Step 5: Solve for x
    x = 103,223,974,406,400/4,706,784
  6. Step 6: Final answer
    x = 21,930,892.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.