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Finding the Third Proportional to 698,447,065.50 and 1,520,897,028.75

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Solution

The third proportional to 698,447,065.50 and 1,520,897,028.75 is: 3,311,815,435.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,447,065.50 : 1,520,897,028.75 = 1,520,897,028.75 : x
  2. Step 2: Convert to fraction form
    698,447,065.50/1,520,897,028.75 = 1,520,897,028.75/x
  3. Step 3: Cross multiply
    698,447,065.50x = 1,520,897,028.75 × 1,520,897,028.75
  4. Step 4: Simplify right side
    698,447,065.50x = 2,313,127,772,060,578,304
  5. Step 5: Solve for x
    x = 2,313,127,772,060,578,304/698,447,065.50
  6. Step 6: Final answer
    x = 3,311,815,435.01

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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.