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Finding the Third Proportional to 4,137,365,516,628 and 9,666,753,069,099

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Solution

The third proportional to 4,137,365,516,628 and 9,666,753,069,099 is: 22,585,897,843,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137,365,516,628 : 9,666,753,069,099 = 9,666,753,069,099 : x
  2. Step 2: Convert to fraction form
    4,137,365,516,628/9,666,753,069,099 = 9,666,753,069,099/x
  3. Step 3: Cross multiply
    4,137,365,516,628x = 9,666,753,069,099 × 9,666,753,069,099
  4. Step 4: Simplify right side
    4,137,365,516,628x = 93,446,114,898,934,928,974,544,896
  5. Step 5: Solve for x
    x = 93,446,114,898,934,928,974,544,896/4,137,365,516,628
  6. Step 6: Final answer
    x = 22,585,897,843,295.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.