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Finding the Third Proportional to 475,634,448 and 695,099,160

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Solution

The third proportional to 475,634,448 and 695,099,160 is: 1,015,828,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,634,448 : 695,099,160 = 695,099,160 : x
  2. Step 2: Convert to fraction form
    475,634,448/695,099,160 = 695,099,160/x
  3. Step 3: Cross multiply
    475,634,448x = 695,099,160 × 695,099,160
  4. Step 4: Simplify right side
    475,634,448x = 483,162,842,232,705,600
  5. Step 5: Solve for x
    x = 483,162,842,232,705,600/475,634,448
  6. Step 6: Final answer
    x = 1,015,828,109.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.