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Finding the Third Proportional to 453,563,462,448 and 971,821,559,112

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Solution

The third proportional to 453,563,462,448 and 971,821,559,112 is: 2,082,260,192,779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,563,462,448 : 971,821,559,112 = 971,821,559,112 : x
  2. Step 2: Convert to fraction form
    453,563,462,448/971,821,559,112 = 971,821,559,112/x
  3. Step 3: Cross multiply
    453,563,462,448x = 971,821,559,112 × 971,821,559,112
  4. Step 4: Simplify right side
    453,563,462,448x = 944,437,142,754,878,455,545,856
  5. Step 5: Solve for x
    x = 944,437,142,754,878,455,545,856/453,563,462,448
  6. Step 6: Final answer
    x = 2,082,260,192,779.87

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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.