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Finding the Third Proportional to 2,128,343,303,307 and 4,407,551,026,421

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Solution

The third proportional to 2,128,343,303,307 and 4,407,551,026,421 is: 9,127,524,690,363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128,343,303,307 : 4,407,551,026,421 = 4,407,551,026,421 : x
  2. Step 2: Convert to fraction form
    2,128,343,303,307/4,407,551,026,421 = 4,407,551,026,421/x
  3. Step 3: Cross multiply
    2,128,343,303,307x = 4,407,551,026,421 × 4,407,551,026,421
  4. Step 4: Simplify right side
    2,128,343,303,307x = 19,426,506,050,504,811,335,385,088
  5. Step 5: Solve for x
    x = 19,426,506,050,504,811,335,385,088/2,128,343,303,307
  6. Step 6: Final answer
    x = 9,127,524,690,363.67

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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.