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Finding the Third Proportional to 10,483,316.16 and 22,423,994.44

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Solution

The third proportional to 10,483,316.16 and 22,423,994.44 is: 47,965,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483,316.16 : 22,423,994.44 = 22,423,994.44 : x
  2. Step 2: Convert to fraction form
    10,483,316.16/22,423,994.44 = 22,423,994.44/x
  3. Step 3: Cross multiply
    10,483,316.16x = 22,423,994.44 × 22,423,994.44
  4. Step 4: Simplify right side
    10,483,316.16x = 502,835,526,533,030.94
  5. Step 5: Solve for x
    x = 502,835,526,533,030.94/10,483,316.16
  6. Step 6: Final answer
    x = 47,965,311.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.