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Finding the Third Proportional to 708,417,513 and 1,111,197,352.50

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Solution

The third proportional to 708,417,513 and 1,111,197,352.50 is: 1,742,982,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,417,513 : 1,111,197,352.50 = 1,111,197,352.50 : x
  2. Step 2: Convert to fraction form
    708,417,513/1,111,197,352.50 = 1,111,197,352.50/x
  3. Step 3: Cross multiply
    708,417,513x = 1,111,197,352.50 × 1,111,197,352.50
  4. Step 4: Simplify right side
    708,417,513x = 1,234,759,556,203,009,280
  5. Step 5: Solve for x
    x = 1,234,759,556,203,009,280/708,417,513
  6. Step 6: Final answer
    x = 1,742,982,822.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.