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Finding the Third Proportional to 908,139,718.13 and 1,421,486,691.75

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Solution

The third proportional to 908,139,718.13 and 1,421,486,691.75 is: 2,225,014,911.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,139,718.13 : 1,421,486,691.75 = 1,421,486,691.75 : x
  2. Step 2: Convert to fraction form
    908,139,718.13/1,421,486,691.75 = 1,421,486,691.75/x
  3. Step 3: Cross multiply
    908,139,718.13x = 1,421,486,691.75 × 1,421,486,691.75
  4. Step 4: Simplify right side
    908,139,718.13x = 2,020,624,414,822,359,552
  5. Step 5: Solve for x
    x = 2,020,624,414,822,359,552/908,139,718.13
  6. Step 6: Final answer
    x = 2,225,014,911.80

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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.