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Finding the Third Proportional to 2,983,402,046 and 4,680,077,403

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Solution

The third proportional to 2,983,402,046 and 4,680,077,403 is: 7,341,660,346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983,402,046 : 4,680,077,403 = 4,680,077,403 : x
  2. Step 2: Convert to fraction form
    2,983,402,046/4,680,077,403 = 4,680,077,403/x
  3. Step 3: Cross multiply
    2,983,402,046x = 4,680,077,403 × 4,680,077,403
  4. Step 4: Simplify right side
    2,983,402,046x = 21,903,124,498,071,224,320
  5. Step 5: Solve for x
    x = 21,903,124,498,071,224,320/2,983,402,046
  6. Step 6: Final answer
    x = 7,341,660,346.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.