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Finding the Third Proportional to 452,586,271 and 977,291,054

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Solution

The third proportional to 452,586,271 and 977,291,054 is: 2,110,311,039.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,586,271 : 977,291,054 = 977,291,054 : x
  2. Step 2: Convert to fraction form
    452,586,271/977,291,054 = 977,291,054/x
  3. Step 3: Cross multiply
    452,586,271x = 977,291,054 × 977,291,054
  4. Step 4: Simplify right side
    452,586,271x = 955,097,804,228,430,976
  5. Step 5: Solve for x
    x = 955,097,804,228,430,976/452,586,271
  6. Step 6: Final answer
    x = 2,110,311,039.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.