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Finding the Third Proportional to 29,841,864,528 and 64,718,809,370

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Solution

The third proportional to 29,841,864,528 and 64,718,809,370 is: 140,357,325,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,841,864,528 : 64,718,809,370 = 64,718,809,370 : x
  2. Step 2: Convert to fraction form
    29,841,864,528/64,718,809,370 = 64,718,809,370/x
  3. Step 3: Cross multiply
    29,841,864,528x = 64,718,809,370 × 64,718,809,370
  4. Step 4: Simplify right side
    29,841,864,528x = 4,188,524,286,270,399,578,112
  5. Step 5: Solve for x
    x = 4,188,524,286,270,399,578,112/29,841,864,528
  6. Step 6: Final answer
    x = 140,357,325,271.70

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Why These Related Problems?

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