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Finding the Third Proportional to 9,257,466,202.50 and 20,283,547,263

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Solution

The third proportional to 9,257,466,202.50 and 20,283,547,263 is: 44,442,213,514.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257,466,202.50 : 20,283,547,263 = 20,283,547,263 : x
  2. Step 2: Convert to fraction form
    9,257,466,202.50/20,283,547,263 = 20,283,547,263/x
  3. Step 3: Cross multiply
    9,257,466,202.50x = 20,283,547,263 × 20,283,547,263
  4. Step 4: Simplify right side
    9,257,466,202.50x = 411,422,289,570,354,823,168
  5. Step 5: Solve for x
    x = 411,422,289,570,354,823,168/9,257,466,202.50
  6. Step 6: Final answer
    x = 44,442,213,514.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.