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Finding the Third Proportional to 945,494,844.61 and 1,413,031,130.02

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Solution

The third proportional to 945,494,844.61 and 1,413,031,130.02 is: 2,111,758,711.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,494,844.61 : 1,413,031,130.02 = 1,413,031,130.02 : x
  2. Step 2: Convert to fraction form
    945,494,844.61/1,413,031,130.02 = 1,413,031,130.02/x
  3. Step 3: Cross multiply
    945,494,844.61x = 1,413,031,130.02 × 1,413,031,130.02
  4. Step 4: Simplify right side
    945,494,844.61x = 1,996,656,974,393,163,264
  5. Step 5: Solve for x
    x = 1,996,656,974,393,163,264/945,494,844.61
  6. Step 6: Final answer
    x = 2,111,758,711.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.