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Finding the Third Proportional to 319,106,836 and 698,748,111

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Solution

The third proportional to 319,106,836 and 698,748,111 is: 1,530,048,458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,106,836 : 698,748,111 = 698,748,111 : x
  2. Step 2: Convert to fraction form
    319,106,836/698,748,111 = 698,748,111/x
  3. Step 3: Cross multiply
    319,106,836x = 698,748,111 × 698,748,111
  4. Step 4: Simplify right side
    319,106,836x = 488,248,922,626,068,352
  5. Step 5: Solve for x
    x = 488,248,922,626,068,352/319,106,836
  6. Step 6: Final answer
    x = 1,530,048,458.84

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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.