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Finding the Third Proportional to 1,055,013,709 and 1,550,916,949.50

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Solution

The third proportional to 1,055,013,709 and 1,550,916,949.50 is: 2,279,916,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055,013,709 : 1,550,916,949.50 = 1,550,916,949.50 : x
  2. Step 2: Convert to fraction form
    1,055,013,709/1,550,916,949.50 = 1,550,916,949.50/x
  3. Step 3: Cross multiply
    1,055,013,709x = 1,550,916,949.50 × 1,550,916,949.50
  4. Step 4: Simplify right side
    1,055,013,709x = 2,405,343,384,246,385,664
  5. Step 5: Solve for x
    x = 2,405,343,384,246,385,664/1,055,013,709
  6. Step 6: Final answer
    x = 2,279,916,709.83

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.