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Finding the Third Proportional to 684,406,154 and 1,477,902,676

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Solution

The third proportional to 684,406,154 and 1,477,902,676 is: 3,191,374,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,406,154 : 1,477,902,676 = 1,477,902,676 : x
  2. Step 2: Convert to fraction form
    684,406,154/1,477,902,676 = 1,477,902,676/x
  3. Step 3: Cross multiply
    684,406,154x = 1,477,902,676 × 1,477,902,676
  4. Step 4: Simplify right side
    684,406,154x = 2,184,196,319,727,961,088
  5. Step 5: Solve for x
    x = 2,184,196,319,727,961,088/684,406,154
  6. Step 6: Final answer
    x = 3,191,374,459.39

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Why These Related Problems?

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