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Finding the Third Proportional to 4,946,920,234 and 10,782,724,724

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Solution

The third proportional to 4,946,920,234 and 10,782,724,724 is: 23,502,936,569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946,920,234 : 10,782,724,724 = 10,782,724,724 : x
  2. Step 2: Convert to fraction form
    4,946,920,234/10,782,724,724 = 10,782,724,724/x
  3. Step 3: Cross multiply
    4,946,920,234x = 10,782,724,724 × 10,782,724,724
  4. Step 4: Simplify right side
    4,946,920,234x = 116,267,152,473,560,875,008
  5. Step 5: Solve for x
    x = 116,267,152,473,560,875,008/4,946,920,234
  6. Step 6: Final answer
    x = 23,502,936,569.40

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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.