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Finding the Third Proportional to 662,507,073 and 1,393,550,352

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Solution

The third proportional to 662,507,073 and 1,393,550,352 is: 2,931,263,170.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,507,073 : 1,393,550,352 = 1,393,550,352 : x
  2. Step 2: Convert to fraction form
    662,507,073/1,393,550,352 = 1,393,550,352/x
  3. Step 3: Cross multiply
    662,507,073x = 1,393,550,352 × 1,393,550,352
  4. Step 4: Simplify right side
    662,507,073x = 1,941,982,583,559,323,904
  5. Step 5: Solve for x
    x = 1,941,982,583,559,323,904/662,507,073
  6. Step 6: Final answer
    x = 2,931,263,170.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.