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Finding the Third Proportional to 5,813,893,282 and 12,753,368,868

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Solution

The third proportional to 5,813,893,282 and 12,753,368,868 is: 27,975,817,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813,893,282 : 12,753,368,868 = 12,753,368,868 : x
  2. Step 2: Convert to fraction form
    5,813,893,282/12,753,368,868 = 12,753,368,868/x
  3. Step 3: Cross multiply
    5,813,893,282x = 12,753,368,868 × 12,753,368,868
  4. Step 4: Simplify right side
    5,813,893,282x = 162,648,417,483,271,602,176
  5. Step 5: Solve for x
    x = 162,648,417,483,271,602,176/5,813,893,282
  6. Step 6: Final answer
    x = 27,975,817,510.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.