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Finding the Third Proportional to 453,563,462,437.50 and 971,821,559,089.50

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Solution

The third proportional to 453,563,462,437.50 and 971,821,559,089.50 is: 2,082,260,192,731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,563,462,437.50 : 971,821,559,089.50 = 971,821,559,089.50 : x
  2. Step 2: Convert to fraction form
    453,563,462,437.50/971,821,559,089.50 = 971,821,559,089.50/x
  3. Step 3: Cross multiply
    453,563,462,437.50x = 971,821,559,089.50 × 971,821,559,089.50
  4. Step 4: Simplify right side
    453,563,462,437.50x = 944,437,142,711,146,561,667,072
  5. Step 5: Solve for x
    x = 944,437,142,711,146,561,667,072/453,563,462,437.50
  6. Step 6: Final answer
    x = 2,082,260,192,731.66

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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.