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Finding the Third Proportional to 446,946,040 and 689,549,970

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Solution

The third proportional to 446,946,040 and 689,549,970 is: 1,063,840,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,946,040 : 689,549,970 = 689,549,970 : x
  2. Step 2: Convert to fraction form
    446,946,040/689,549,970 = 689,549,970/x
  3. Step 3: Cross multiply
    446,946,040x = 689,549,970 × 689,549,970
  4. Step 4: Simplify right side
    446,946,040x = 475,479,161,127,000,896
  5. Step 5: Solve for x
    x = 475,479,161,127,000,896/446,946,040
  6. Step 6: Final answer
    x = 1,063,840,192.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.