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Finding the Third Proportional to 35,564,090,821.50 and 77,326,673,277

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Solution

The third proportional to 35,564,090,821.50 and 77,326,673,277 is: 168,130,669,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,564,090,821.50 : 77,326,673,277 = 77,326,673,277 : x
  2. Step 2: Convert to fraction form
    35,564,090,821.50/77,326,673,277 = 77,326,673,277/x
  3. Step 3: Cross multiply
    35,564,090,821.50x = 77,326,673,277 × 77,326,673,277
  4. Step 4: Simplify right side
    35,564,090,821.50x = 5,979,414,400,087,905,796,096
  5. Step 5: Solve for x
    x = 5,979,414,400,087,905,796,096/35,564,090,821.50
  6. Step 6: Final answer
    x = 168,130,669,503.10

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