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Finding the Third Proportional to 2,153,973,242 and 4,716,554,080

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Solution

The third proportional to 2,153,973,242 and 4,716,554,080 is: 10,327,835,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,973,242 : 4,716,554,080 = 4,716,554,080 : x
  2. Step 2: Convert to fraction form
    2,153,973,242/4,716,554,080 = 4,716,554,080/x
  3. Step 3: Cross multiply
    2,153,973,242x = 4,716,554,080 × 4,716,554,080
  4. Step 4: Simplify right side
    2,153,973,242x = 22,245,882,389,564,645,376
  5. Step 5: Solve for x
    x = 22,245,882,389,564,645,376/2,153,973,242
  6. Step 6: Final answer
    x = 10,327,835,998.98

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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.