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Finding the Third Proportional to 613,710,546.61 and 1,346,238,616.08

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Solution

The third proportional to 613,710,546.61 and 1,346,238,616.08 is: 2,953,115,962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,710,546.61 : 1,346,238,616.08 = 1,346,238,616.08 : x
  2. Step 2: Convert to fraction form
    613,710,546.61/1,346,238,616.08 = 1,346,238,616.08/x
  3. Step 3: Cross multiply
    613,710,546.61x = 1,346,238,616.08 × 1,346,238,616.08
  4. Step 4: Simplify right side
    613,710,546.61x = 1,812,358,411,419,877,888
  5. Step 5: Solve for x
    x = 1,812,358,411,419,877,888/613,710,546.61
  6. Step 6: Final answer
    x = 2,953,115,962.29

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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.