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Finding the Third Proportional to 312,402,391 and 650,662,106

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Solution

The third proportional to 312,402,391 and 650,662,106 is: 1,355,179,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,402,391 : 650,662,106 = 650,662,106 : x
  2. Step 2: Convert to fraction form
    312,402,391/650,662,106 = 650,662,106/x
  3. Step 3: Cross multiply
    312,402,391x = 650,662,106 × 650,662,106
  4. Step 4: Simplify right side
    312,402,391x = 423,361,176,184,355,264
  5. Step 5: Solve for x
    x = 423,361,176,184,355,264/312,402,391
  6. Step 6: Final answer
    x = 1,355,179,052.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.