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Finding the Third Proportional to 6,619,874,478 and 14,402,001,324

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Solution

The third proportional to 6,619,874,478 and 14,402,001,324 is: 31,332,564,208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,619,874,478 : 14,402,001,324 = 14,402,001,324 : x
  2. Step 2: Convert to fraction form
    6,619,874,478/14,402,001,324 = 14,402,001,324/x
  3. Step 3: Cross multiply
    6,619,874,478x = 14,402,001,324 × 14,402,001,324
  4. Step 4: Simplify right side
    6,619,874,478x = 207,417,642,136,497,750,016
  5. Step 5: Solve for x
    x = 207,417,642,136,497,750,016/6,619,874,478
  6. Step 6: Final answer
    x = 31,332,564,208.86

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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.