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Finding the Third Proportional to 10,363,623,664 and 22,567,359,968

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Solution

The third proportional to 10,363,623,664 and 22,567,359,968 is: 49,141,666,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363,623,664 : 22,567,359,968 = 22,567,359,968 : x
  2. Step 2: Convert to fraction form
    10,363,623,664/22,567,359,968 = 22,567,359,968/x
  3. Step 3: Cross multiply
    10,363,623,664x = 22,567,359,968 × 22,567,359,968
  4. Step 4: Simplify right side
    10,363,623,664x = 509,285,735,925,288,992,768
  5. Step 5: Solve for x
    x = 509,285,735,925,288,992,768/10,363,623,664
  6. Step 6: Final answer
    x = 49,141,666,316.42

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