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Finding the Third Proportional to 34,249,905 and 46,965,865.50

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Solution

The third proportional to 34,249,905 and 46,965,865.50 is: 64,402,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,249,905 : 46,965,865.50 = 46,965,865.50 : x
  2. Step 2: Convert to fraction form
    34,249,905/46,965,865.50 = 46,965,865.50/x
  3. Step 3: Cross multiply
    34,249,905x = 46,965,865.50 × 46,965,865.50
  4. Step 4: Simplify right side
    34,249,905x = 2,205,792,522,164,090.25
  5. Step 5: Solve for x
    x = 2,205,792,522,164,090.25/34,249,905
  6. Step 6: Final answer
    x = 64,402,880.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.