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Finding the Third Proportional to 13,098,814,989 and 28,492,677,904.50

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Solution

The third proportional to 13,098,814,989 and 28,492,677,904.50 is: 61,977,567,806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098,814,989 : 28,492,677,904.50 = 28,492,677,904.50 : x
  2. Step 2: Convert to fraction form
    13,098,814,989/28,492,677,904.50 = 28,492,677,904.50/x
  3. Step 3: Cross multiply
    13,098,814,989x = 28,492,677,904.50 × 28,492,677,904.50
  4. Step 4: Simplify right side
    13,098,814,989x = 811,832,694,169,582,567,424
  5. Step 5: Solve for x
    x = 811,832,694,169,582,567,424/13,098,814,989
  6. Step 6: Final answer
    x = 61,977,567,806.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.