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Finding the Third Proportional to 286,690,914 and 442,710,315

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Solution

The third proportional to 286,690,914 and 442,710,315 is: 683,636,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,690,914 : 442,710,315 = 442,710,315 : x
  2. Step 2: Convert to fraction form
    286,690,914/442,710,315 = 442,710,315/x
  3. Step 3: Cross multiply
    286,690,914x = 442,710,315 × 442,710,315
  4. Step 4: Simplify right side
    286,690,914x = 195,992,423,007,399,232
  5. Step 5: Solve for x
    x = 195,992,423,007,399,232/286,690,914
  6. Step 6: Final answer
    x = 683,636,674.33

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.