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Finding the Third Proportional to 257,438,450,022 and 554,221,347,402

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Solution

The third proportional to 257,438,450,022 and 554,221,347,402 is: 1,193,144,621,131.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,438,450,022 : 554,221,347,402 = 554,221,347,402 : x
  2. Step 2: Convert to fraction form
    257,438,450,022/554,221,347,402 = 554,221,347,402/x
  3. Step 3: Cross multiply
    257,438,450,022x = 554,221,347,402 × 554,221,347,402
  4. Step 4: Simplify right side
    257,438,450,022x = 307,161,301,916,088,386,191,360
  5. Step 5: Solve for x
    x = 307,161,301,916,088,386,191,360/257,438,450,022
  6. Step 6: Final answer
    x = 1,193,144,621,131.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.