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Finding the Third Proportional to 9,375,075,225 and 20,039,484,618

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Solution

The third proportional to 9,375,075,225 and 20,039,484,618 is: 42,834,956,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375,075,225 : 20,039,484,618 = 20,039,484,618 : x
  2. Step 2: Convert to fraction form
    9,375,075,225/20,039,484,618 = 20,039,484,618/x
  3. Step 3: Cross multiply
    9,375,075,225x = 20,039,484,618 × 20,039,484,618
  4. Step 4: Simplify right side
    9,375,075,225x = 401,580,943,755,058,610,176
  5. Step 5: Solve for x
    x = 401,580,943,755,058,610,176/9,375,075,225
  6. Step 6: Final answer
    x = 42,834,956,959.51

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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.