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Finding the Third Proportional to 370,254,472 and 771,154,688

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Solution

The third proportional to 370,254,472 and 771,154,688 is: 1,606,137,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,254,472 : 771,154,688 = 771,154,688 : x
  2. Step 2: Convert to fraction form
    370,254,472/771,154,688 = 771,154,688/x
  3. Step 3: Cross multiply
    370,254,472x = 771,154,688 × 771,154,688
  4. Step 4: Simplify right side
    370,254,472x = 594,679,552,824,377,344
  5. Step 5: Solve for x
    x = 594,679,552,824,377,344/370,254,472
  6. Step 6: Final answer
    x = 1,606,137,394.13

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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.