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Finding the Third Proportional to 1,216,597,359 and 2,497,689,618

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Solution

The third proportional to 1,216,597,359 and 2,497,689,618 is: 5,127,788,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216,597,359 : 2,497,689,618 = 2,497,689,618 : x
  2. Step 2: Convert to fraction form
    1,216,597,359/2,497,689,618 = 2,497,689,618/x
  3. Step 3: Cross multiply
    1,216,597,359x = 2,497,689,618 × 2,497,689,618
  4. Step 4: Simplify right side
    1,216,597,359x = 6,238,453,427,864,985,600
  5. Step 5: Solve for x
    x = 6,238,453,427,864,985,600/1,216,597,359
  6. Step 6: Final answer
    x = 5,127,788,073.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.