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Finding the Third Proportional to 25,829,118,016.13 and 40,103,574,361.13

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Solution

The third proportional to 25,829,118,016.13 and 40,103,574,361.13 is: 62,266,805,840.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,829,118,016.13 : 40,103,574,361.13 = 40,103,574,361.13 : x
  2. Step 2: Convert to fraction form
    25,829,118,016.13/40,103,574,361.13 = 40,103,574,361.13/x
  3. Step 3: Cross multiply
    25,829,118,016.13x = 40,103,574,361.13 × 40,103,574,361.13
  4. Step 4: Simplify right side
    25,829,118,016.13x = 1,608,296,676,538,282,409,984
  5. Step 5: Solve for x
    x = 1,608,296,676,538,282,409,984/25,829,118,016.13
  6. Step 6: Final answer
    x = 62,266,805,840.38

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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.