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Finding the Third Proportional to 9,768,358 and 14,359,855

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Solution

The third proportional to 9,768,358 and 14,359,855 is: 21,109,528.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768,358 : 14,359,855 = 14,359,855 : x
  2. Step 2: Convert to fraction form
    9,768,358/14,359,855 = 14,359,855/x
  3. Step 3: Cross multiply
    9,768,358x = 14,359,855 × 14,359,855
  4. Step 4: Simplify right side
    9,768,358x = 206,205,435,621,025
  5. Step 5: Solve for x
    x = 206,205,435,621,025/9,768,358
  6. Step 6: Final answer
    x = 21,109,528.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.