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Finding the Third Proportional to 303,669,874,603.12 and 653,041,018,001.25

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Solution

The third proportional to 303,669,874,603.12 and 653,041,018,001.25 is: 1,404,362,456,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,669,874,603.12 : 653,041,018,001.25 = 653,041,018,001.25 : x
  2. Step 2: Convert to fraction form
    303,669,874,603.12/653,041,018,001.25 = 653,041,018,001.25/x
  3. Step 3: Cross multiply
    303,669,874,603.12x = 653,041,018,001.25 × 653,041,018,001.25
  4. Step 4: Simplify right side
    303,669,874,603.12x = 426,462,571,192,108,930,039,808
  5. Step 5: Solve for x
    x = 426,462,571,192,108,930,039,808/303,669,874,603.12
  6. Step 6: Final answer
    x = 1,404,362,456,926.20

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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.