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Finding the Third Proportional to 8,610,509,772 and 13,477,799,522

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Solution

The third proportional to 8,610,509,772 and 13,477,799,522 is: 21,096,437,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,610,509,772 : 13,477,799,522 = 13,477,799,522 : x
  2. Step 2: Convert to fraction form
    8,610,509,772/13,477,799,522 = 13,477,799,522/x
  3. Step 3: Cross multiply
    8,610,509,772x = 13,477,799,522 × 13,477,799,522
  4. Step 4: Simplify right side
    8,610,509,772x = 181,651,079,955,223,412,736
  5. Step 5: Solve for x
    x = 181,651,079,955,223,412,736/8,610,509,772
  6. Step 6: Final answer
    x = 21,096,437,349.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.