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Finding the Third Proportional to 6,091,402,440 and 8,218,732,128

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Solution

The third proportional to 6,091,402,440 and 8,218,732,128 is: 11,088,999,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091,402,440 : 8,218,732,128 = 8,218,732,128 : x
  2. Step 2: Convert to fraction form
    6,091,402,440/8,218,732,128 = 8,218,732,128/x
  3. Step 3: Cross multiply
    6,091,402,440x = 8,218,732,128 × 8,218,732,128
  4. Step 4: Simplify right side
    6,091,402,440x = 67,547,557,791,819,407,360
  5. Step 5: Solve for x
    x = 67,547,557,791,819,407,360/6,091,402,440
  6. Step 6: Final answer
    x = 11,088,999,365.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.