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Finding the Third Proportional to 767,712,636 and 1,657,755,000

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Solution

The third proportional to 767,712,636 and 1,657,755,000 is: 3,579,661,856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,712,636 : 1,657,755,000 = 1,657,755,000 : x
  2. Step 2: Convert to fraction form
    767,712,636/1,657,755,000 = 1,657,755,000/x
  3. Step 3: Cross multiply
    767,712,636x = 1,657,755,000 × 1,657,755,000
  4. Step 4: Simplify right side
    767,712,636x = 2,748,151,640,024,999,936
  5. Step 5: Solve for x
    x = 2,748,151,640,024,999,936/767,712,636
  6. Step 6: Final answer
    x = 3,579,661,856.74

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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.