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Finding the Third Proportional to 403,963,120 and 872,496,192

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Solution

The third proportional to 403,963,120 and 872,496,192 is: 1,884,453,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,963,120 : 872,496,192 = 872,496,192 : x
  2. Step 2: Convert to fraction form
    403,963,120/872,496,192 = 872,496,192/x
  3. Step 3: Cross multiply
    403,963,120x = 872,496,192 × 872,496,192
  4. Step 4: Simplify right side
    403,963,120x = 761,249,605,054,500,864
  5. Step 5: Solve for x
    x = 761,249,605,054,500,864/403,963,120
  6. Step 6: Final answer
    x = 1,884,453,226.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.