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Finding the Third Proportional to 539,830,921,820 and 1,124,343,331,504

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Solution

The third proportional to 539,830,921,820 and 1,124,343,331,504 is: 2,341,747,899,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,830,921,820 : 1,124,343,331,504 = 1,124,343,331,504 : x
  2. Step 2: Convert to fraction form
    539,830,921,820/1,124,343,331,504 = 1,124,343,331,504/x
  3. Step 3: Cross multiply
    539,830,921,820x = 1,124,343,331,504 × 1,124,343,331,504
  4. Step 4: Simplify right side
    539,830,921,820x = 1,264,147,927,097,513,756,065,792
  5. Step 5: Solve for x
    x = 1,264,147,927,097,513,756,065,792/539,830,921,820
  6. Step 6: Final answer
    x = 2,341,747,899,204.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.