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Finding the Third Proportional to 9,970,852,194 and 21,596,316,417

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Solution

The third proportional to 9,970,852,194 and 21,596,316,417 is: 46,776,431,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970,852,194 : 21,596,316,417 = 21,596,316,417 : x
  2. Step 2: Convert to fraction form
    9,970,852,194/21,596,316,417 = 21,596,316,417/x
  3. Step 3: Cross multiply
    9,970,852,194x = 21,596,316,417 × 21,596,316,417
  4. Step 4: Simplify right side
    9,970,852,194x = 466,400,882,783,183,699,968
  5. Step 5: Solve for x
    x = 466,400,882,783,183,699,968/9,970,852,194
  6. Step 6: Final answer
    x = 46,776,431,312.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.