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Finding the Third Proportional to 153,953,047 and 335,009,585

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Solution

The third proportional to 153,953,047 and 335,009,585 is: 728,997,731.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,953,047 : 335,009,585 = 335,009,585 : x
  2. Step 2: Convert to fraction form
    153,953,047/335,009,585 = 335,009,585/x
  3. Step 3: Cross multiply
    153,953,047x = 335,009,585 × 335,009,585
  4. Step 4: Simplify right side
    153,953,047x = 112,231,422,041,872,224
  5. Step 5: Solve for x
    x = 112,231,422,041,872,224/153,953,047
  6. Step 6: Final answer
    x = 728,997,731.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.