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Finding the Third Proportional to 465,710,715 and 945,106,582.50

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Solution

The third proportional to 465,710,715 and 945,106,582.50 is: 1,917,985,615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,710,715 : 945,106,582.50 = 945,106,582.50 : x
  2. Step 2: Convert to fraction form
    465,710,715/945,106,582.50 = 945,106,582.50/x
  3. Step 3: Cross multiply
    465,710,715x = 945,106,582.50 × 945,106,582.50
  4. Step 4: Simplify right side
    465,710,715x = 893,226,452,284,829,312
  5. Step 5: Solve for x
    x = 893,226,452,284,829,312/465,710,715
  6. Step 6: Final answer
    x = 1,917,985,615.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.