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Finding the Third Proportional to 3,615,563,310,653.80 and 7,806,284,173,933.50

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Solution

The third proportional to 3,615,563,310,653.80 and 7,806,284,173,933.50 is: 16,854,378,520,946.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615,563,310,653.80 : 7,806,284,173,933.50 = 7,806,284,173,933.50 : x
  2. Step 2: Convert to fraction form
    3,615,563,310,653.80/7,806,284,173,933.50 = 7,806,284,173,933.50/x
  3. Step 3: Cross multiply
    3,615,563,310,653.80x = 7,806,284,173,933.50 × 7,806,284,173,933.50
  4. Step 4: Simplify right side
    3,615,563,310,653.80x = 60,938,072,604,204,623,873,441,792
  5. Step 5: Solve for x
    x = 60,938,072,604,204,623,873,441,792/3,615,563,310,653.80
  6. Step 6: Final answer
    x = 16,854,378,520,946.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.