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Finding the Third Proportional to 417,477,045.09 and 824,416,304.06

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Solution

The third proportional to 417,477,045.09 and 824,416,304.06 is: 1,628,023,026.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,477,045.09 : 824,416,304.06 = 824,416,304.06 : x
  2. Step 2: Convert to fraction form
    417,477,045.09/824,416,304.06 = 824,416,304.06/x
  3. Step 3: Cross multiply
    417,477,045.09x = 824,416,304.06 × 824,416,304.06
  4. Step 4: Simplify right side
    417,477,045.09x = 679,662,242,404,072,448
  5. Step 5: Solve for x
    x = 679,662,242,404,072,448/417,477,045.09
  6. Step 6: Final answer
    x = 1,628,023,026.40

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.