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Finding the Third Proportional to 573,657,610 and 867,314,319

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Solution

The third proportional to 573,657,610 and 867,314,319 is: 1,311,294,602.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,657,610 : 867,314,319 = 867,314,319 : x
  2. Step 2: Convert to fraction form
    573,657,610/867,314,319 = 867,314,319/x
  3. Step 3: Cross multiply
    573,657,610x = 867,314,319 × 867,314,319
  4. Step 4: Simplify right side
    573,657,610x = 752,234,127,942,433,792
  5. Step 5: Solve for x
    x = 752,234,127,942,433,792/573,657,610
  6. Step 6: Final answer
    x = 1,311,294,602.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.