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Finding the Third Proportional to 549,480,531,278.20 and 831,287,869,445.20

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Solution

The third proportional to 549,480,531,278.20 and 831,287,869,445.20 is: 1,257,623,305,195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,480,531,278.20 : 831,287,869,445.20 = 831,287,869,445.20 : x
  2. Step 2: Convert to fraction form
    549,480,531,278.20/831,287,869,445.20 = 831,287,869,445.20/x
  3. Step 3: Cross multiply
    549,480,531,278.20x = 831,287,869,445.20 × 831,287,869,445.20
  4. Step 4: Simplify right side
    549,480,531,278.20x = 691,039,521,886,739,852,427,264
  5. Step 5: Solve for x
    x = 691,039,521,886,739,852,427,264/549,480,531,278.20
  6. Step 6: Final answer
    x = 1,257,623,305,195.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.