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Finding the Third Proportional to 644,752,877.06 and 1,381,456,432.69

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Solution

The third proportional to 644,752,877.06 and 1,381,456,432.69 is: 2,959,927,661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,752,877.06 : 1,381,456,432.69 = 1,381,456,432.69 : x
  2. Step 2: Convert to fraction form
    644,752,877.06/1,381,456,432.69 = 1,381,456,432.69/x
  3. Step 3: Cross multiply
    644,752,877.06x = 1,381,456,432.69 × 1,381,456,432.69
  4. Step 4: Simplify right side
    644,752,877.06x = 1,908,421,875,413,673,216
  5. Step 5: Solve for x
    x = 1,908,421,875,413,673,216/644,752,877.06
  6. Step 6: Final answer
    x = 2,959,927,661.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.