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Finding the Third Proportional to 446,776,580,448 and 626,915,986,146

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Solution

The third proportional to 446,776,580,448 and 626,915,986,146 is: 879,687,232,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,776,580,448 : 626,915,986,146 = 626,915,986,146 : x
  2. Step 2: Convert to fraction form
    446,776,580,448/626,915,986,146 = 626,915,986,146/x
  3. Step 3: Cross multiply
    446,776,580,448x = 626,915,986,146 × 626,915,986,146
  4. Step 4: Simplify right side
    446,776,580,448x = 393,023,653,685,411,685,859,328
  5. Step 5: Solve for x
    x = 393,023,653,685,411,685,859,328/446,776,580,448
  6. Step 6: Final answer
    x = 879,687,232,690.92

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.