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Finding the Third Proportional to 470,837,738.81 and 734,865,849

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Solution

The third proportional to 470,837,738.81 and 734,865,849 is: 1,146,951,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,837,738.81 : 734,865,849 = 734,865,849 : x
  2. Step 2: Convert to fraction form
    470,837,738.81/734,865,849 = 734,865,849/x
  3. Step 3: Cross multiply
    470,837,738.81x = 734,865,849 × 734,865,849
  4. Step 4: Simplify right side
    470,837,738.81x = 540,027,816,026,490,816
  5. Step 5: Solve for x
    x = 540,027,816,026,490,816/470,837,738.81
  6. Step 6: Final answer
    x = 1,146,951,001.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.