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Finding the Third Proportional to 946,356,817 and 2,070,812,808

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Solution

The third proportional to 946,356,817 and 2,070,812,808 is: 4,531,341,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,356,817 : 2,070,812,808 = 2,070,812,808 : x
  2. Step 2: Convert to fraction form
    946,356,817/2,070,812,808 = 2,070,812,808/x
  3. Step 3: Cross multiply
    946,356,817x = 2,070,812,808 × 2,070,812,808
  4. Step 4: Simplify right side
    946,356,817x = 4,288,265,685,776,844,800
  5. Step 5: Solve for x
    x = 4,288,265,685,776,844,800/946,356,817
  6. Step 6: Final answer
    x = 4,531,341,253.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.