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Finding the Third Proportional to 316,987,274.25 and 690,249,156.75

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Solution

The third proportional to 316,987,274.25 and 690,249,156.75 is: 1,503,037,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,987,274.25 : 690,249,156.75 = 690,249,156.75 : x
  2. Step 2: Convert to fraction form
    316,987,274.25/690,249,156.75 = 690,249,156.75/x
  3. Step 3: Cross multiply
    316,987,274.25x = 690,249,156.75 × 690,249,156.75
  4. Step 4: Simplify right side
    316,987,274.25x = 476,443,898,394,086,080
  5. Step 5: Solve for x
    x = 476,443,898,394,086,080/316,987,274.25
  6. Step 6: Final answer
    x = 1,503,037,935.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.