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Finding the Third Proportional to 849,774,618 and 1,828,689,642

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Solution

The third proportional to 849,774,618 and 1,828,689,642 is: 3,935,285,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,774,618 : 1,828,689,642 = 1,828,689,642 : x
  2. Step 2: Convert to fraction form
    849,774,618/1,828,689,642 = 1,828,689,642/x
  3. Step 3: Cross multiply
    849,774,618x = 1,828,689,642 × 1,828,689,642
  4. Step 4: Simplify right side
    849,774,618x = 3,344,105,806,758,088,192
  5. Step 5: Solve for x
    x = 3,344,105,806,758,088,192/849,774,618
  6. Step 6: Final answer
    x = 3,935,285,587.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.