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Finding the Third Proportional to 2,128,343,303,304 and 4,407,551,026,416

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Solution

The third proportional to 2,128,343,303,304 and 4,407,551,026,416 is: 9,127,524,690,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128,343,303,304 : 4,407,551,026,416 = 4,407,551,026,416 : x
  2. Step 2: Convert to fraction form
    2,128,343,303,304/4,407,551,026,416 = 4,407,551,026,416/x
  3. Step 3: Cross multiply
    2,128,343,303,304x = 4,407,551,026,416 × 4,407,551,026,416
  4. Step 4: Simplify right side
    2,128,343,303,304x = 19,426,506,050,460,736,380,993,536
  5. Step 5: Solve for x
    x = 19,426,506,050,460,736,380,993,536/2,128,343,303,304
  6. Step 6: Final answer
    x = 9,127,524,690,355.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.