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Finding the Third Proportional to 59,578,870,280 and 129,618,011,870

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Solution

The third proportional to 59,578,870,280 and 129,618,011,870 is: 281,993,077,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,578,870,280 : 129,618,011,870 = 129,618,011,870 : x
  2. Step 2: Convert to fraction form
    59,578,870,280/129,618,011,870 = 129,618,011,870/x
  3. Step 3: Cross multiply
    59,578,870,280x = 129,618,011,870 × 129,618,011,870
  4. Step 4: Simplify right side
    59,578,870,280x = 16,800,829,001,131,460,919,296
  5. Step 5: Solve for x
    x = 16,800,829,001,131,460,919,296/59,578,870,280
  6. Step 6: Final answer
    x = 281,993,077,783.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.