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Finding the Third Proportional to 1,017,960,856,413 and 2,214,645,255,030

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Solution

The third proportional to 1,017,960,856,413 and 2,214,645,255,030 is: 4,818,116,113,923.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017,960,856,413 : 2,214,645,255,030 = 2,214,645,255,030 : x
  2. Step 2: Convert to fraction form
    1,017,960,856,413/2,214,645,255,030 = 2,214,645,255,030/x
  3. Step 3: Cross multiply
    1,017,960,856,413x = 2,214,645,255,030 × 2,214,645,255,030
  4. Step 4: Simplify right side
    1,017,960,856,413x = 4,904,653,605,626,893,222,019,072
  5. Step 5: Solve for x
    x = 4,904,653,605,626,893,222,019,072/1,017,960,856,413
  6. Step 6: Final answer
    x = 4,818,116,113,923.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.