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Finding the Third Proportional to 25,829,118,016 and 40,103,574,361

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Solution

The third proportional to 25,829,118,016 and 40,103,574,361 is: 62,266,805,840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,829,118,016 : 40,103,574,361 = 40,103,574,361 : x
  2. Step 2: Convert to fraction form
    25,829,118,016/40,103,574,361 = 40,103,574,361/x
  3. Step 3: Cross multiply
    25,829,118,016x = 40,103,574,361 × 40,103,574,361
  4. Step 4: Simplify right side
    25,829,118,016x = 1,608,296,676,528,256,450,560
  5. Step 5: Solve for x
    x = 1,608,296,676,528,256,450,560/25,829,118,016
  6. Step 6: Final answer
    x = 62,266,805,840.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.