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Finding the Third Proportional to 767,709,902.25 and 1,657,750,864.50

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Solution

The third proportional to 767,709,902.25 and 1,657,750,864.50 is: 3,579,656,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,709,902.25 : 1,657,750,864.50 = 1,657,750,864.50 : x
  2. Step 2: Convert to fraction form
    767,709,902.25/1,657,750,864.50 = 1,657,750,864.50/x
  3. Step 3: Cross multiply
    767,709,902.25x = 1,657,750,864.50 × 1,657,750,864.50
  4. Step 4: Simplify right side
    767,709,902.25x = 2,748,137,928,750,497,280
  5. Step 5: Solve for x
    x = 2,748,137,928,750,497,280/767,709,902.25
  6. Step 6: Final answer
    x = 3,579,656,743.64

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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.