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Finding the Third Proportional to 684,406,152 and 1,477,902,672

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Solution

The third proportional to 684,406,152 and 1,477,902,672 is: 3,191,374,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,406,152 : 1,477,902,672 = 1,477,902,672 : x
  2. Step 2: Convert to fraction form
    684,406,152/1,477,902,672 = 1,477,902,672/x
  3. Step 3: Cross multiply
    684,406,152x = 1,477,902,672 × 1,477,902,672
  4. Step 4: Simplify right side
    684,406,152x = 2,184,196,307,904,739,584
  5. Step 5: Solve for x
    x = 2,184,196,307,904,739,584/684,406,152
  6. Step 6: Final answer
    x = 3,191,374,451.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.