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Finding the Third Proportional to 2,073,445,308 and 4,569,524,810

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Solution

The third proportional to 2,073,445,308 and 4,569,524,810 is: 10,070,464,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073,445,308 : 4,569,524,810 = 4,569,524,810 : x
  2. Step 2: Convert to fraction form
    2,073,445,308/4,569,524,810 = 4,569,524,810/x
  3. Step 3: Cross multiply
    2,073,445,308x = 4,569,524,810 × 4,569,524,810
  4. Step 4: Simplify right side
    2,073,445,308x = 20,880,556,989,205,536,768
  5. Step 5: Solve for x
    x = 20,880,556,989,205,536,768/2,073,445,308
  6. Step 6: Final answer
    x = 10,070,464,317.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.