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Finding the Third Proportional to 2,191,415,442 and 4,693,126,056

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Solution

The third proportional to 2,191,415,442 and 4,693,126,056 is: 10,050,778,941.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191,415,442 : 4,693,126,056 = 4,693,126,056 : x
  2. Step 2: Convert to fraction form
    2,191,415,442/4,693,126,056 = 4,693,126,056/x
  3. Step 3: Cross multiply
    2,191,415,442x = 4,693,126,056 × 4,693,126,056
  4. Step 4: Simplify right side
    2,191,415,442x = 22,025,432,177,506,115,584
  5. Step 5: Solve for x
    x = 22,025,432,177,506,115,584/2,191,415,442
  6. Step 6: Final answer
    x = 10,050,778,941.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.