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Finding the Third Proportional to 186,554,299,176 and 402,834,789,648

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Solution

The third proportional to 186,554,299,176 and 402,834,789,648 is: 869,858,633,478.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,554,299,176 : 402,834,789,648 = 402,834,789,648 : x
  2. Step 2: Convert to fraction form
    186,554,299,176/402,834,789,648 = 402,834,789,648/x
  3. Step 3: Cross multiply
    186,554,299,176x = 402,834,789,648 × 402,834,789,648
  4. Step 4: Simplify right side
    186,554,299,176x = 162,275,867,750,748,406,153,216
  5. Step 5: Solve for x
    x = 162,275,867,750,748,406,153,216/186,554,299,176
  6. Step 6: Final answer
    x = 869,858,633,478.36

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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.