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Finding the Third Proportional to 1,461,809,770.50 and 3,156,606,666

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Solution

The third proportional to 1,461,809,770.50 and 3,156,606,666 is: 6,816,321,688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,809,770.50 : 3,156,606,666 = 3,156,606,666 : x
  2. Step 2: Convert to fraction form
    1,461,809,770.50/3,156,606,666 = 3,156,606,666/x
  3. Step 3: Cross multiply
    1,461,809,770.50x = 3,156,606,666 × 3,156,606,666
  4. Step 4: Simplify right side
    1,461,809,770.50x = 9,964,165,643,835,635,712
  5. Step 5: Solve for x
    x = 9,964,165,643,835,635,712/1,461,809,770.50
  6. Step 6: Final answer
    x = 6,816,321,688.99

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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.