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Finding the Third Proportional to 713,307,412.13 and 1,146,637,936.69

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Solution

The third proportional to 713,307,412.13 and 1,146,637,936.69 is: 1,843,214,490.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,307,412.13 : 1,146,637,936.69 = 1,146,637,936.69 : x
  2. Step 2: Convert to fraction form
    713,307,412.13/1,146,637,936.69 = 1,146,637,936.69/x
  3. Step 3: Cross multiply
    713,307,412.13x = 1,146,637,936.69 × 1,146,637,936.69
  4. Step 4: Simplify right side
    713,307,412.13x = 1,314,778,557,850,967,296
  5. Step 5: Solve for x
    x = 1,314,778,557,850,967,296/713,307,412.13
  6. Step 6: Final answer
    x = 1,843,214,490.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.