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Finding the Third Proportional to 3,645,344,490 and 7,953,033,432

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Solution

The third proportional to 3,645,344,490 and 7,953,033,432 is: 17,351,101,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645,344,490 : 7,953,033,432 = 7,953,033,432 : x
  2. Step 2: Convert to fraction form
    3,645,344,490/7,953,033,432 = 7,953,033,432/x
  3. Step 3: Cross multiply
    3,645,344,490x = 7,953,033,432 × 7,953,033,432
  4. Step 4: Simplify right side
    3,645,344,490x = 63,250,740,770,509,701,120
  5. Step 5: Solve for x
    x = 63,250,740,770,509,701,120/3,645,344,490
  6. Step 6: Final answer
    x = 17,351,101,094.57

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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.