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Finding the Third Proportional to 538,156,870 and 842,362,484

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Solution

The third proportional to 538,156,870 and 842,362,484 is: 1,318,527,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,156,870 : 842,362,484 = 842,362,484 : x
  2. Step 2: Convert to fraction form
    538,156,870/842,362,484 = 842,362,484/x
  3. Step 3: Cross multiply
    538,156,870x = 842,362,484 × 842,362,484
  4. Step 4: Simplify right side
    538,156,870x = 709,574,554,450,650,240
  5. Step 5: Solve for x
    x = 709,574,554,450,650,240/538,156,870
  6. Step 6: Final answer
    x = 1,318,527,355.14

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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.