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Finding the Third Proportional to 475,549,734.94 and 964,470,848.63

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Solution

The third proportional to 475,549,734.94 and 964,470,848.63 is: 1,956,060,427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,549,734.94 : 964,470,848.63 = 964,470,848.63 : x
  2. Step 2: Convert to fraction form
    475,549,734.94/964,470,848.63 = 964,470,848.63/x
  3. Step 3: Cross multiply
    475,549,734.94x = 964,470,848.63 × 964,470,848.63
  4. Step 4: Simplify right side
    475,549,734.94x = 930,204,017,847,427,712
  5. Step 5: Solve for x
    x = 930,204,017,847,427,712/475,549,734.94
  6. Step 6: Final answer
    x = 1,956,060,427.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.