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Finding the Third Proportional to 538,156,869 and 842,362,482.50

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Solution

The third proportional to 538,156,869 and 842,362,482.50 is: 1,318,527,352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,156,869 : 842,362,482.50 = 842,362,482.50 : x
  2. Step 2: Convert to fraction form
    538,156,869/842,362,482.50 = 842,362,482.50/x
  3. Step 3: Cross multiply
    538,156,869x = 842,362,482.50 × 842,362,482.50
  4. Step 4: Simplify right side
    538,156,869x = 709,574,551,923,562,752
  5. Step 5: Solve for x
    x = 709,574,551,923,562,752/538,156,869
  6. Step 6: Final answer
    x = 1,318,527,352.89

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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.