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Finding the Third Proportional to 2,906,946,592 and 6,376,684,316

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Solution

The third proportional to 2,906,946,592 and 6,376,684,316 is: 13,987,908,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906,946,592 : 6,376,684,316 = 6,376,684,316 : x
  2. Step 2: Convert to fraction form
    2,906,946,592/6,376,684,316 = 6,376,684,316/x
  3. Step 3: Cross multiply
    2,906,946,592x = 6,376,684,316 × 6,376,684,316
  4. Step 4: Simplify right side
    2,906,946,592x = 40,662,102,865,920,385,024
  5. Step 5: Solve for x
    x = 40,662,102,865,920,385,024/2,906,946,592
  6. Step 6: Final answer
    x = 13,987,908,473.39

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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.