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Finding the Third Proportional to 971,077,672 and 1,419,749,508

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Solution

The third proportional to 971,077,672 and 1,419,749,508 is: 2,075,723,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,077,672 : 1,419,749,508 = 1,419,749,508 : x
  2. Step 2: Convert to fraction form
    971,077,672/1,419,749,508 = 1,419,749,508/x
  3. Step 3: Cross multiply
    971,077,672x = 1,419,749,508 × 1,419,749,508
  4. Step 4: Simplify right side
    971,077,672x = 2,015,688,665,466,242,048
  5. Step 5: Solve for x
    x = 2,015,688,665,466,242,048/971,077,672
  6. Step 6: Final answer
    x = 2,075,723,419.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.