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Finding the Third Proportional to 714,586,062 and 1,547,885,886

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Solution

The third proportional to 714,586,062 and 1,547,885,886 is: 3,352,921,143.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,586,062 : 1,547,885,886 = 1,547,885,886 : x
  2. Step 2: Convert to fraction form
    714,586,062/1,547,885,886 = 1,547,885,886/x
  3. Step 3: Cross multiply
    714,586,062x = 1,547,885,886 × 1,547,885,886
  4. Step 4: Simplify right side
    714,586,062x = 2,395,950,716,078,005,248
  5. Step 5: Solve for x
    x = 2,395,950,716,078,005,248/714,586,062
  6. Step 6: Final answer
    x = 3,352,921,143.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.