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Finding the Third Proportional to 346,316,098 and 536,694,596

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Solution

The third proportional to 346,316,098 and 536,694,596 is: 831,728,848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,316,098 : 536,694,596 = 536,694,596 : x
  2. Step 2: Convert to fraction form
    346,316,098/536,694,596 = 536,694,596/x
  3. Step 3: Cross multiply
    346,316,098x = 536,694,596 × 536,694,596
  4. Step 4: Simplify right side
    346,316,098x = 288,041,089,375,603,200
  5. Step 5: Solve for x
    x = 288,041,089,375,603,200/346,316,098
  6. Step 6: Final answer
    x = 831,728,848.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.