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Finding the Third Proportional to 301,465,994.91 and 653,014,358.16

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Solution

The third proportional to 301,465,994.91 and 653,014,358.16 is: 1,414,513,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,465,994.91 : 653,014,358.16 = 653,014,358.16 : x
  2. Step 2: Convert to fraction form
    301,465,994.91/653,014,358.16 = 653,014,358.16/x
  3. Step 3: Cross multiply
    301,465,994.91x = 653,014,358.16 × 653,014,358.16
  4. Step 4: Simplify right side
    301,465,994.91x = 426,427,751,958,219,136
  5. Step 5: Solve for x
    x = 426,427,751,958,219,136/301,465,994.91
  6. Step 6: Final answer
    x = 1,414,513,607.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.