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Finding the Third Proportional to 3,772,465,989,698 and 8,205,907,903,998

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Solution

The third proportional to 3,772,465,989,698 and 8,205,907,903,998 is: 17,849,577,627,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772,465,989,698 : 8,205,907,903,998 = 8,205,907,903,998 : x
  2. Step 2: Convert to fraction form
    3,772,465,989,698/8,205,907,903,998 = 8,205,907,903,998/x
  3. Step 3: Cross multiply
    3,772,465,989,698x = 8,205,907,903,998 × 8,205,907,903,998
  4. Step 4: Simplify right side
    3,772,465,989,698x = 67,336,924,528,896,852,063,420,416
  5. Step 5: Solve for x
    x = 67,336,924,528,896,852,063,420,416/3,772,465,989,698
  6. Step 6: Final answer
    x = 17,849,577,627,149.77

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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.