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Finding the Third Proportional to 350,363,641.50 and 827,066,407.50

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Solution

The third proportional to 350,363,641.50 and 827,066,407.50 is: 1,952,368,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,363,641.50 : 827,066,407.50 = 827,066,407.50 : x
  2. Step 2: Convert to fraction form
    350,363,641.50/827,066,407.50 = 827,066,407.50/x
  3. Step 3: Cross multiply
    350,363,641.50x = 827,066,407.50 × 827,066,407.50
  4. Step 4: Simplify right side
    350,363,641.50x = 684,038,842,414,956,032
  5. Step 5: Solve for x
    x = 684,038,842,414,956,032/350,363,641.50
  6. Step 6: Final answer
    x = 1,952,368,229.44

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.