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Finding the Third Proportional to 473,760,920.25 and 736,477,018.88

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Solution

The third proportional to 473,760,920.25 and 736,477,018.88 is: 1,144,877,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,760,920.25 : 736,477,018.88 = 736,477,018.88 : x
  2. Step 2: Convert to fraction form
    473,760,920.25/736,477,018.88 = 736,477,018.88/x
  3. Step 3: Cross multiply
    473,760,920.25x = 736,477,018.88 × 736,477,018.88
  4. Step 4: Simplify right side
    473,760,920.25x = 542,398,399,331,007,104
  5. Step 5: Solve for x
    x = 542,398,399,331,007,104/473,760,920.25
  6. Step 6: Final answer
    x = 1,144,877,882.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.