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Finding the Third Proportional to 632,795,076 and 1,006,944,905.25

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Solution

The third proportional to 632,795,076 and 1,006,944,905.25 is: 1,602,316,580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,795,076 : 1,006,944,905.25 = 1,006,944,905.25 : x
  2. Step 2: Convert to fraction form
    632,795,076/1,006,944,905.25 = 1,006,944,905.25/x
  3. Step 3: Cross multiply
    632,795,076x = 1,006,944,905.25 × 1,006,944,905.25
  4. Step 4: Simplify right side
    632,795,076x = 1,013,938,042,208,931,456
  5. Step 5: Solve for x
    x = 1,013,938,042,208,931,456/632,795,076
  6. Step 6: Final answer
    x = 1,602,316,580.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.