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Finding the Third Proportional to 530,913,465 and 831,024,577.50

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Solution

The third proportional to 530,913,465 and 831,024,577.50 is: 1,300,780,435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,913,465 : 831,024,577.50 = 831,024,577.50 : x
  2. Step 2: Convert to fraction form
    530,913,465/831,024,577.50 = 831,024,577.50/x
  3. Step 3: Cross multiply
    530,913,465x = 831,024,577.50 × 831,024,577.50
  4. Step 4: Simplify right side
    530,913,465x = 690,601,848,409,053,568
  5. Step 5: Solve for x
    x = 690,601,848,409,053,568/530,913,465
  6. Step 6: Final answer
    x = 1,300,780,435.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.