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Finding the Third Proportional to 35,511,953,571 and 77,275,441,440

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Solution

The third proportional to 35,511,953,571 and 77,275,441,440 is: 168,154,473,332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,511,953,571 : 77,275,441,440 = 77,275,441,440 : x
  2. Step 2: Convert to fraction form
    35,511,953,571/77,275,441,440 = 77,275,441,440/x
  3. Step 3: Cross multiply
    35,511,953,571x = 77,275,441,440 × 77,275,441,440
  4. Step 4: Simplify right side
    35,511,953,571x = 5,971,493,849,746,869,583,872
  5. Step 5: Solve for x
    x = 5,971,493,849,746,869,583,872/35,511,953,571
  6. Step 6: Final answer
    x = 168,154,473,332.70

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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.