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Finding the Third Proportional to 6,192,784,354,748 and 8,610,571,638,618

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Solution

The third proportional to 6,192,784,354,748 and 8,610,571,638,618 is: 11,972,311,596,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192,784,354,748 : 8,610,571,638,618 = 8,610,571,638,618 : x
  2. Step 2: Convert to fraction form
    6,192,784,354,748/8,610,571,638,618 = 8,610,571,638,618/x
  3. Step 3: Cross multiply
    6,192,784,354,748x = 8,610,571,638,618 × 8,610,571,638,618
  4. Step 4: Simplify right side
    6,192,784,354,748x = 74,141,943,943,772,670,108,106,752
  5. Step 5: Solve for x
    x = 74,141,943,943,772,670,108,106,752/6,192,784,354,748
  6. Step 6: Final answer
    x = 11,972,311,596,306.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.