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Finding the Third Proportional to 1,657,956,963 and 3,574,181,130

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Solution

The third proportional to 1,657,956,963 and 3,574,181,130 is: 7,705,128,079.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657,956,963 : 3,574,181,130 = 3,574,181,130 : x
  2. Step 2: Convert to fraction form
    1,657,956,963/3,574,181,130 = 3,574,181,130/x
  3. Step 3: Cross multiply
    1,657,956,963x = 3,574,181,130 × 3,574,181,130
  4. Step 4: Simplify right side
    1,657,956,963x = 12,774,770,750,048,077,824
  5. Step 5: Solve for x
    x = 12,774,770,750,048,077,824/1,657,956,963
  6. Step 6: Final answer
    x = 7,705,128,079.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.