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Finding the Third Proportional to 2,295,405,257 and 4,909,937,551

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Solution

The third proportional to 2,295,405,257 and 4,909,937,551 is: 10,502,496,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295,405,257 : 4,909,937,551 = 4,909,937,551 : x
  2. Step 2: Convert to fraction form
    2,295,405,257/4,909,937,551 = 4,909,937,551/x
  3. Step 3: Cross multiply
    2,295,405,257x = 4,909,937,551 × 4,909,937,551
  4. Step 4: Simplify right side
    2,295,405,257x = 24,107,486,754,719,879,168
  5. Step 5: Solve for x
    x = 24,107,486,754,719,879,168/2,295,405,257
  6. Step 6: Final answer
    x = 10,502,496,969.20

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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.