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Finding the Third Proportional to 900,536,811,747 and 1,371,905,541,106.50

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Solution

The third proportional to 900,536,811,747 and 1,371,905,541,106.50 is: 2,090,003,194,947.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,536,811,747 : 1,371,905,541,106.50 = 1,371,905,541,106.50 : x
  2. Step 2: Convert to fraction form
    900,536,811,747/1,371,905,541,106.50 = 1,371,905,541,106.50/x
  3. Step 3: Cross multiply
    900,536,811,747x = 1,371,905,541,106.50 × 1,371,905,541,106.50
  4. Step 4: Simplify right side
    900,536,811,747x = 1,882,124,813,718,718,433,460,224
  5. Step 5: Solve for x
    x = 1,882,124,813,718,718,433,460,224/900,536,811,747
  6. Step 6: Final answer
    x = 2,090,003,194,947.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.