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Finding the Third Proportional to 612,528,702.75 and 941,500,675.13

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Solution

The third proportional to 612,528,702.75 and 941,500,675.13 is: 1,447,154,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,528,702.75 : 941,500,675.13 = 941,500,675.13 : x
  2. Step 2: Convert to fraction form
    612,528,702.75/941,500,675.13 = 941,500,675.13/x
  3. Step 3: Cross multiply
    612,528,702.75x = 941,500,675.13 × 941,500,675.13
  4. Step 4: Simplify right side
    612,528,702.75x = 886,423,521,260,830,848
  5. Step 5: Solve for x
    x = 886,423,521,260,830,848/612,528,702.75
  6. Step 6: Final answer
    x = 1,447,154,259.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.