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Finding the Third Proportional to 12,286,788,984,703 and 26,736,547,783,030

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Solution

The third proportional to 12,286,788,984,703 and 26,736,547,783,030 is: 58,179,805,012,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286,788,984,703 : 26,736,547,783,030 = 26,736,547,783,030 : x
  2. Step 2: Convert to fraction form
    12,286,788,984,703/26,736,547,783,030 = 26,736,547,783,030/x
  3. Step 3: Cross multiply
    12,286,788,984,703x = 26,736,547,783,030 × 26,736,547,783,030
  4. Step 4: Simplify right side
    12,286,788,984,703x = 714,842,987,354,246,464,596,344,832
  5. Step 5: Solve for x
    x = 714,842,987,354,246,464,596,344,832/12,286,788,984,703
  6. Step 6: Final answer
    x = 58,179,805,012,051.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.