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Finding the Third Proportional to 362,595,504.38 and 776,881,773

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Solution

The third proportional to 362,595,504.38 and 776,881,773 is: 1,664,513,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,595,504.38 : 776,881,773 = 776,881,773 : x
  2. Step 2: Convert to fraction form
    362,595,504.38/776,881,773 = 776,881,773/x
  3. Step 3: Cross multiply
    362,595,504.38x = 776,881,773 × 776,881,773
  4. Step 4: Simplify right side
    362,595,504.38x = 603,545,289,219,623,552
  5. Step 5: Solve for x
    x = 603,545,289,219,623,552/362,595,504.38
  6. Step 6: Final answer
    x = 1,664,513,988.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.