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Finding the Third Proportional to 631,078,647.75 and 943,085,895.75

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Solution

The third proportional to 631,078,647.75 and 943,085,895.75 is: 1,409,350,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,078,647.75 : 943,085,895.75 = 943,085,895.75 : x
  2. Step 2: Convert to fraction form
    631,078,647.75/943,085,895.75 = 943,085,895.75/x
  3. Step 3: Cross multiply
    631,078,647.75x = 943,085,895.75 × 943,085,895.75
  4. Step 4: Simplify right side
    631,078,647.75x = 889,411,006,762,579,840
  5. Step 5: Solve for x
    x = 889,411,006,762,579,840/631,078,647.75
  6. Step 6: Final answer
    x = 1,409,350,498.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.