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Finding the Third Proportional to 175,607,025 and 390,477,009

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Solution

The third proportional to 175,607,025 and 390,477,009 is: 868,258,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,607,025 : 390,477,009 = 390,477,009 : x
  2. Step 2: Convert to fraction form
    175,607,025/390,477,009 = 390,477,009/x
  3. Step 3: Cross multiply
    175,607,025x = 390,477,009 × 390,477,009
  4. Step 4: Simplify right side
    175,607,025x = 152,472,294,557,586,080
  5. Step 5: Solve for x
    x = 152,472,294,557,586,080/175,607,025
  6. Step 6: Final answer
    x = 868,258,513.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.