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Finding the Third Proportional to 23,390,935,407 and 51,068,206,998

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Solution

The third proportional to 23,390,935,407 and 51,068,206,998 is: 111,494,547,807.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,390,935,407 : 51,068,206,998 = 51,068,206,998 : x
  2. Step 2: Convert to fraction form
    23,390,935,407/51,068,206,998 = 51,068,206,998/x
  3. Step 3: Cross multiply
    23,390,935,407x = 51,068,206,998 × 51,068,206,998
  4. Step 4: Simplify right side
    23,390,935,407x = 2,607,961,765,990,576,422,912
  5. Step 5: Solve for x
    x = 2,607,961,765,990,576,422,912/23,390,935,407
  6. Step 6: Final answer
    x = 111,494,547,807.19

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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.