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Finding the Third Proportional to 9,570,742 and 14,710,917

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Solution

The third proportional to 9,570,742 and 14,710,917 is: 22,611,734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,742 : 14,710,917 = 14,710,917 : x
  2. Step 2: Convert to fraction form
    9,570,742/14,710,917 = 14,710,917/x
  3. Step 3: Cross multiply
    9,570,742x = 14,710,917 × 14,710,917
  4. Step 4: Simplify right side
    9,570,742x = 216,411,078,980,889
  5. Step 5: Solve for x
    x = 216,411,078,980,889/9,570,742
  6. Step 6: Final answer
    x = 22,611,734.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.