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Finding the Third Proportional to 519,730,220 and 1,155,663,920

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Solution

The third proportional to 519,730,220 and 1,155,663,920 is: 2,569,716,065.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,730,220 : 1,155,663,920 = 1,155,663,920 : x
  2. Step 2: Convert to fraction form
    519,730,220/1,155,663,920 = 1,155,663,920/x
  3. Step 3: Cross multiply
    519,730,220x = 1,155,663,920 × 1,155,663,920
  4. Step 4: Simplify right side
    519,730,220x = 1,335,559,095,989,766,400
  5. Step 5: Solve for x
    x = 1,335,559,095,989,766,400/519,730,220
  6. Step 6: Final answer
    x = 2,569,716,065.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.