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Finding the Third Proportional to 12,043,848,822 and 26,089,012,602

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Solution

The third proportional to 12,043,848,822 and 26,089,012,602 is: 56,513,211,732.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,043,848,822 : 26,089,012,602 = 26,089,012,602 : x
  2. Step 2: Convert to fraction form
    12,043,848,822/26,089,012,602 = 26,089,012,602/x
  3. Step 3: Cross multiply
    12,043,848,822x = 26,089,012,602 × 26,089,012,602
  4. Step 4: Simplify right side
    12,043,848,822x = 680,636,578,547,314,851,840
  5. Step 5: Solve for x
    x = 680,636,578,547,314,851,840/12,043,848,822
  6. Step 6: Final answer
    x = 56,513,211,732.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.