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Finding the Third Proportional to 6,658,494,386 and 14,489,155,724

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Solution

The third proportional to 6,658,494,386 and 14,489,155,724 is: 31,528,994,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658,494,386 : 14,489,155,724 = 14,489,155,724 : x
  2. Step 2: Convert to fraction form
    6,658,494,386/14,489,155,724 = 14,489,155,724/x
  3. Step 3: Cross multiply
    6,658,494,386x = 14,489,155,724 × 14,489,155,724
  4. Step 4: Simplify right side
    6,658,494,386x = 209,935,633,594,321,960,960
  5. Step 5: Solve for x
    x = 209,935,633,594,321,960,960/6,658,494,386
  6. Step 6: Final answer
    x = 31,528,994,608.11

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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.