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Finding the Third Proportional to 475,549,732.13 and 964,470,841.88

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Solution

The third proportional to 475,549,732.13 and 964,470,841.88 is: 1,956,060,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,549,732.13 : 964,470,841.88 = 964,470,841.88 : x
  2. Step 2: Convert to fraction form
    475,549,732.13/964,470,841.88 = 964,470,841.88/x
  3. Step 3: Cross multiply
    475,549,732.13x = 964,470,841.88 × 964,470,841.88
  4. Step 4: Simplify right side
    475,549,732.13x = 930,204,004,827,071,232
  5. Step 5: Solve for x
    x = 930,204,004,827,071,232/475,549,732.13
  6. Step 6: Final answer
    x = 1,956,060,411.75

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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.