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Finding the Third Proportional to 446,230,944 and 971,480,628

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Solution

The third proportional to 446,230,944 and 971,480,628 is: 2,114,991,403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,230,944 : 971,480,628 = 971,480,628 : x
  2. Step 2: Convert to fraction form
    446,230,944/971,480,628 = 971,480,628/x
  3. Step 3: Cross multiply
    446,230,944x = 971,480,628 × 971,480,628
  4. Step 4: Simplify right side
    446,230,944x = 943,774,610,579,274,368
  5. Step 5: Solve for x
    x = 943,774,610,579,274,368/446,230,944
  6. Step 6: Final answer
    x = 2,114,991,403.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.