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Finding the Third Proportional to 4,174,611,228 and 8,946,805,446

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Solution

The third proportional to 4,174,611,228 and 8,946,805,446 is: 19,174,319,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174,611,228 : 8,946,805,446 = 8,946,805,446 : x
  2. Step 2: Convert to fraction form
    4,174,611,228/8,946,805,446 = 8,946,805,446/x
  3. Step 3: Cross multiply
    4,174,611,228x = 8,946,805,446 × 8,946,805,446
  4. Step 4: Simplify right side
    4,174,611,228x = 80,045,327,688,575,254,528
  5. Step 5: Solve for x
    x = 80,045,327,688,575,254,528/4,174,611,228
  6. Step 6: Final answer
    x = 19,174,319,072.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.