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Finding the Third Proportional to 545,755,552 and 839,712,048

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Solution

The third proportional to 545,755,552 and 839,712,048 is: 1,292,000,275.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,755,552 : 839,712,048 = 839,712,048 : x
  2. Step 2: Convert to fraction form
    545,755,552/839,712,048 = 839,712,048/x
  3. Step 3: Cross multiply
    545,755,552x = 839,712,048 × 839,712,048
  4. Step 4: Simplify right side
    545,755,552x = 705,116,323,556,354,304
  5. Step 5: Solve for x
    x = 705,116,323,556,354,304/545,755,552
  6. Step 6: Final answer
    x = 1,292,000,275.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.