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Finding the Third Proportional to 530,509,920 and 1,141,641,432

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Solution

The third proportional to 530,509,920 and 1,141,641,432 is: 2,456,778,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,509,920 : 1,141,641,432 = 1,141,641,432 : x
  2. Step 2: Convert to fraction form
    530,509,920/1,141,641,432 = 1,141,641,432/x
  3. Step 3: Cross multiply
    530,509,920x = 1,141,641,432 × 1,141,641,432
  4. Step 4: Simplify right side
    530,509,920x = 1,303,345,159,259,010,560
  5. Step 5: Solve for x
    x = 1,303,345,159,259,010,560/530,509,920
  6. Step 6: Final answer
    x = 2,456,778,111.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.