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Finding the Third Proportional to 4,538,150,064.08 and 9,713,802,347.17

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Solution

The third proportional to 4,538,150,064.08 and 9,713,802,347.17 is: 20,792,163,041.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,538,150,064.08 : 9,713,802,347.17 = 9,713,802,347.17 : x
  2. Step 2: Convert to fraction form
    4,538,150,064.08/9,713,802,347.17 = 9,713,802,347.17/x
  3. Step 3: Cross multiply
    4,538,150,064.08x = 9,713,802,347.17 × 9,713,802,347.17
  4. Step 4: Simplify right side
    4,538,150,064.08x = 94,357,956,039,966,998,528
  5. Step 5: Solve for x
    x = 94,357,956,039,966,998,528/4,538,150,064.08
  6. Step 6: Final answer
    x = 20,792,163,041.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.