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Finding the Third Proportional to 373,857,740 and 813,547,733

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Solution

The third proportional to 373,857,740 and 813,547,733 is: 1,770,352,310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,857,740 : 813,547,733 = 813,547,733 : x
  2. Step 2: Convert to fraction form
    373,857,740/813,547,733 = 813,547,733/x
  3. Step 3: Cross multiply
    373,857,740x = 813,547,733 × 813,547,733
  4. Step 4: Simplify right side
    373,857,740x = 661,859,913,869,439,232
  5. Step 5: Solve for x
    x = 661,859,913,869,439,232/373,857,740
  6. Step 6: Final answer
    x = 1,770,352,310.67

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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.