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Finding the Third Proportional to 767,712,634 and 1,657,754,996

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Solution

The third proportional to 767,712,634 and 1,657,754,996 is: 3,579,661,848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,712,634 : 1,657,754,996 = 1,657,754,996 : x
  2. Step 2: Convert to fraction form
    767,712,634/1,657,754,996 = 1,657,754,996/x
  3. Step 3: Cross multiply
    767,712,634x = 1,657,754,996 × 1,657,754,996
  4. Step 4: Simplify right side
    767,712,634x = 2,748,151,626,762,959,872
  5. Step 5: Solve for x
    x = 2,748,151,626,762,959,872/767,712,634
  6. Step 6: Final answer
    x = 3,579,661,848.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.