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Finding the Third Proportional to 1,198,866,736,246 and 2,588,812,038,302

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Solution

The third proportional to 1,198,866,736,246 and 2,588,812,038,302 is: 5,590,235,817,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,866,736,246 : 2,588,812,038,302 = 2,588,812,038,302 : x
  2. Step 2: Convert to fraction form
    1,198,866,736,246/2,588,812,038,302 = 2,588,812,038,302/x
  3. Step 3: Cross multiply
    1,198,866,736,246x = 2,588,812,038,302 × 2,588,812,038,302
  4. Step 4: Simplify right side
    1,198,866,736,246x = 6,701,947,769,657,356,265,193,472
  5. Step 5: Solve for x
    x = 6,701,947,769,657,356,265,193,472/1,198,866,736,246
  6. Step 6: Final answer
    x = 5,590,235,817,738.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.