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Finding the Third Proportional to 566,884,477.13 and 810,645,765.75

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Solution

The third proportional to 566,884,477.13 and 810,645,765.75 is: 1,159,224,822.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,884,477.13 : 810,645,765.75 = 810,645,765.75 : x
  2. Step 2: Convert to fraction form
    566,884,477.13/810,645,765.75 = 810,645,765.75/x
  3. Step 3: Cross multiply
    566,884,477.13x = 810,645,765.75 × 810,645,765.75
  4. Step 4: Simplify right side
    566,884,477.13x = 657,146,557,528,403,840
  5. Step 5: Solve for x
    x = 657,146,557,528,403,840/566,884,477.13
  6. Step 6: Final answer
    x = 1,159,224,822.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.