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Finding the Third Proportional to 333,141,552 and 497,752,776

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Solution

The third proportional to 333,141,552 and 497,752,776 is: 743,701,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,141,552 : 497,752,776 = 497,752,776 : x
  2. Step 2: Convert to fraction form
    333,141,552/497,752,776 = 497,752,776/x
  3. Step 3: Cross multiply
    333,141,552x = 497,752,776 × 497,752,776
  4. Step 4: Simplify right side
    333,141,552x = 247,757,826,015,706,176
  5. Step 5: Solve for x
    x = 247,757,826,015,706,176/333,141,552
  6. Step 6: Final answer
    x = 743,701,362.16

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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.