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Finding the Third Proportional to 405,531,886.50 and 832,562,241.19

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Solution

The third proportional to 405,531,886.50 and 832,562,241.19 is: 1,709,261,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,531,886.50 : 832,562,241.19 = 832,562,241.19 : x
  2. Step 2: Convert to fraction form
    405,531,886.50/832,562,241.19 = 832,562,241.19/x
  3. Step 3: Cross multiply
    405,531,886.50x = 832,562,241.19 × 832,562,241.19
  4. Step 4: Simplify right side
    405,531,886.50x = 693,159,885,451,152,896
  5. Step 5: Solve for x
    x = 693,159,885,451,152,896/405,531,886.50
  6. Step 6: Final answer
    x = 1,709,261,117.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.