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Finding the Third Proportional to 8,610,509,767.50 and 13,477,799,511

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Solution

The third proportional to 8,610,509,767.50 and 13,477,799,511 is: 21,096,437,326.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,610,509,767.50 : 13,477,799,511 = 13,477,799,511 : x
  2. Step 2: Convert to fraction form
    8,610,509,767.50/13,477,799,511 = 13,477,799,511/x
  3. Step 3: Cross multiply
    8,610,509,767.50x = 13,477,799,511 × 13,477,799,511
  4. Step 4: Simplify right side
    8,610,509,767.50x = 181,651,079,658,711,842,816
  5. Step 5: Solve for x
    x = 181,651,079,658,711,842,816/8,610,509,767.50
  6. Step 6: Final answer
    x = 21,096,437,326.43

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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.