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Finding the Third Proportional to 475,549,725 and 964,470,828.75

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Solution

The third proportional to 475,549,725 and 964,470,828.75 is: 1,956,060,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,549,725 : 964,470,828.75 = 964,470,828.75 : x
  2. Step 2: Convert to fraction form
    475,549,725/964,470,828.75 = 964,470,828.75/x
  3. Step 3: Cross multiply
    475,549,725x = 964,470,828.75 × 964,470,828.75
  4. Step 4: Simplify right side
    475,549,725x = 930,203,979,509,711,872
  5. Step 5: Solve for x
    x = 930,203,979,509,711,872/475,549,725
  6. Step 6: Final answer
    x = 1,956,060,387.82

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