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Finding the Third Proportional to 974,375,765 and 2,000,406,148

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Solution

The third proportional to 974,375,765 and 2,000,406,148 is: 4,106,859,900.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,375,765 : 2,000,406,148 = 2,000,406,148 : x
  2. Step 2: Convert to fraction form
    974,375,765/2,000,406,148 = 2,000,406,148/x
  3. Step 3: Cross multiply
    974,375,765x = 2,000,406,148 × 2,000,406,148
  4. Step 4: Simplify right side
    974,375,765x = 4,001,624,756,956,197,888
  5. Step 5: Solve for x
    x = 4,001,624,756,956,197,888/974,375,765
  6. Step 6: Final answer
    x = 4,106,859,900.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.