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Finding the Third Proportional to 430,658,754 and 944,693,972

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Solution

The third proportional to 430,658,754 and 944,693,972 is: 2,072,282,735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,658,754 : 944,693,972 = 944,693,972 : x
  2. Step 2: Convert to fraction form
    430,658,754/944,693,972 = 944,693,972/x
  3. Step 3: Cross multiply
    430,658,754x = 944,693,972 × 944,693,972
  4. Step 4: Simplify right side
    430,658,754x = 892,446,700,733,136,768
  5. Step 5: Solve for x
    x = 892,446,700,733,136,768/430,658,754
  6. Step 6: Final answer
    x = 2,072,282,735.33

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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.