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Finding the Third Proportional to 1,913,446,614 and 2,995,066,557

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Solution

The third proportional to 1,913,446,614 and 2,995,066,557 is: 4,688,097,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913,446,614 : 2,995,066,557 = 2,995,066,557 : x
  2. Step 2: Convert to fraction form
    1,913,446,614/2,995,066,557 = 2,995,066,557/x
  3. Step 3: Cross multiply
    1,913,446,614x = 2,995,066,557 × 2,995,066,557
  4. Step 4: Simplify right side
    1,913,446,614x = 8,970,423,680,859,834,368
  5. Step 5: Solve for x
    x = 8,970,423,680,859,834,368/1,913,446,614
  6. Step 6: Final answer
    x = 4,688,097,182.97

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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.