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Finding the Third Proportional to 908,139,708 and 1,421,486,677.50

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Solution

The third proportional to 908,139,708 and 1,421,486,677.50 is: 2,225,014,891.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,139,708 : 1,421,486,677.50 = 1,421,486,677.50 : x
  2. Step 2: Convert to fraction form
    908,139,708/1,421,486,677.50 = 1,421,486,677.50/x
  3. Step 3: Cross multiply
    908,139,708x = 1,421,486,677.50 × 1,421,486,677.50
  4. Step 4: Simplify right side
    908,139,708x = 2,020,624,374,309,989,120
  5. Step 5: Solve for x
    x = 2,020,624,374,309,989,120/908,139,708
  6. Step 6: Final answer
    x = 2,225,014,891.99

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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.