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Finding the Third Proportional to 613,710,741 and 1,346,239,008

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Solution

The third proportional to 613,710,741 and 1,346,239,008 is: 2,953,116,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,710,741 : 1,346,239,008 = 1,346,239,008 : x
  2. Step 2: Convert to fraction form
    613,710,741/1,346,239,008 = 1,346,239,008/x
  3. Step 3: Cross multiply
    613,710,741x = 1,346,239,008 × 1,346,239,008
  4. Step 4: Simplify right side
    613,710,741x = 1,812,359,466,660,824,064
  5. Step 5: Solve for x
    x = 1,812,359,466,660,824,064/613,710,741
  6. Step 6: Final answer
    x = 2,953,116,746.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.