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Finding the Third Proportional to 1,554,970,685,208 and 2,423,368,042,308

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Solution

The third proportional to 1,554,970,685,208 and 2,423,368,042,308 is: 3,776,735,294,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554,970,685,208 : 2,423,368,042,308 = 2,423,368,042,308 : x
  2. Step 2: Convert to fraction form
    1,554,970,685,208/2,423,368,042,308 = 2,423,368,042,308/x
  3. Step 3: Cross multiply
    1,554,970,685,208x = 2,423,368,042,308 × 2,423,368,042,308
  4. Step 4: Simplify right side
    1,554,970,685,208x = 5,872,712,668,479,708,217,737,216
  5. Step 5: Solve for x
    x = 5,872,712,668,479,708,217,737,216/1,554,970,685,208
  6. Step 6: Final answer
    x = 3,776,735,294,333.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.