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Finding the Third Proportional to 583,772,064.75 and 940,065,283.69

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Solution

The third proportional to 583,772,064.75 and 940,065,283.69 is: 1,513,814,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,772,064.75 : 940,065,283.69 = 940,065,283.69 : x
  2. Step 2: Convert to fraction form
    583,772,064.75/940,065,283.69 = 940,065,283.69/x
  3. Step 3: Cross multiply
    583,772,064.75x = 940,065,283.69 × 940,065,283.69
  4. Step 4: Simplify right side
    583,772,064.75x = 883,722,737,594,459,904
  5. Step 5: Solve for x
    x = 883,722,737,594,459,904/583,772,064.75
  6. Step 6: Final answer
    x = 1,513,814,707.75

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.