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Finding the Third Proportional to 431,398,826,352 and 937,884,924,376

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Solution

The third proportional to 431,398,826,352 and 937,884,924,376 is: 2,039,013,733,092.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,398,826,352 : 937,884,924,376 = 937,884,924,376 : x
  2. Step 2: Convert to fraction form
    431,398,826,352/937,884,924,376 = 937,884,924,376/x
  3. Step 3: Cross multiply
    431,398,826,352x = 937,884,924,376 × 937,884,924,376
  4. Step 4: Simplify right side
    431,398,826,352x = 879,628,131,371,775,283,953,664
  5. Step 5: Solve for x
    x = 879,628,131,371,775,283,953,664/431,398,826,352
  6. Step 6: Final answer
    x = 2,039,013,733,092.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.