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Finding the Third Proportional to 4,137,365,516,622 and 9,666,753,069,082

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Solution

The third proportional to 4,137,365,516,622 and 9,666,753,069,082 is: 22,585,897,843,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137,365,516,622 : 9,666,753,069,082 = 9,666,753,069,082 : x
  2. Step 2: Convert to fraction form
    4,137,365,516,622/9,666,753,069,082 = 9,666,753,069,082/x
  3. Step 3: Cross multiply
    4,137,365,516,622x = 9,666,753,069,082 × 9,666,753,069,082
  4. Step 4: Simplify right side
    4,137,365,516,622x = 93,446,114,898,606,260,897,185,792
  5. Step 5: Solve for x
    x = 93,446,114,898,606,260,897,185,792/4,137,365,516,622
  6. Step 6: Final answer
    x = 22,585,897,843,249.16

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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.