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Finding the Third Proportional to 25,849,984 and 54,374,144

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Solution

The third proportional to 25,849,984 and 54,374,144 is: 114,373,283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,849,984 : 54,374,144 = 54,374,144 : x
  2. Step 2: Convert to fraction form
    25,849,984/54,374,144 = 54,374,144/x
  3. Step 3: Cross multiply
    25,849,984x = 54,374,144 × 54,374,144
  4. Step 4: Simplify right side
    25,849,984x = 2,956,547,535,732,736
  5. Step 5: Solve for x
    x = 2,956,547,535,732,736/25,849,984
  6. Step 6: Final answer
    x = 114,373,283.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.