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Finding the Third Proportional to 370,254,407 and 771,154,554

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Solution

The third proportional to 370,254,407 and 771,154,554 is: 1,606,137,117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,254,407 : 771,154,554 = 771,154,554 : x
  2. Step 2: Convert to fraction form
    370,254,407/771,154,554 = 771,154,554/x
  3. Step 3: Cross multiply
    370,254,407x = 771,154,554 × 771,154,554
  4. Step 4: Simplify right side
    370,254,407x = 594,679,346,154,938,880
  5. Step 5: Solve for x
    x = 594,679,346,154,938,880/370,254,407
  6. Step 6: Final answer
    x = 1,606,137,117.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.