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Finding the Third Proportional to 2,053,525,168 and 4,483,354,196

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Solution

The third proportional to 2,053,525,168 and 4,483,354,196 is: 9,788,272,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,525,168 : 4,483,354,196 = 4,483,354,196 : x
  2. Step 2: Convert to fraction form
    2,053,525,168/4,483,354,196 = 4,483,354,196/x
  3. Step 3: Cross multiply
    2,053,525,168x = 4,483,354,196 × 4,483,354,196
  4. Step 4: Simplify right side
    2,053,525,168x = 20,100,464,846,790,807,552
  5. Step 5: Solve for x
    x = 20,100,464,846,790,807,552/2,053,525,168
  6. Step 6: Final answer
    x = 9,788,272,946.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.