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Finding the Third Proportional to 1,377,155,282 and 2,988,124,865

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Solution

The third proportional to 1,377,155,282 and 2,988,124,865 is: 6,483,575,472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377,155,282 : 2,988,124,865 = 2,988,124,865 : x
  2. Step 2: Convert to fraction form
    1,377,155,282/2,988,124,865 = 2,988,124,865/x
  3. Step 3: Cross multiply
    1,377,155,282x = 2,988,124,865 × 2,988,124,865
  4. Step 4: Simplify right side
    1,377,155,282x = 8,928,890,208,831,267,840
  5. Step 5: Solve for x
    x = 8,928,890,208,831,267,840/1,377,155,282
  6. Step 6: Final answer
    x = 6,483,575,472.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.