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Finding the Third Proportional to 839,081,809.50 and 1,316,271,764.50

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Solution

The third proportional to 839,081,809.50 and 1,316,271,764.50 is: 2,064,841,995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,081,809.50 : 1,316,271,764.50 = 1,316,271,764.50 : x
  2. Step 2: Convert to fraction form
    839,081,809.50/1,316,271,764.50 = 1,316,271,764.50/x
  3. Step 3: Cross multiply
    839,081,809.50x = 1,316,271,764.50 × 1,316,271,764.50
  4. Step 4: Simplify right side
    839,081,809.50x = 1,732,571,358,019,943,424
  5. Step 5: Solve for x
    x = 1,732,571,358,019,943,424/839,081,809.50
  6. Step 6: Final answer
    x = 2,064,841,995.62

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.