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Finding the Third Proportional to 1,705,326,582.94 and 3,710,940,034.50

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Solution

The third proportional to 1,705,326,582.94 and 3,710,940,034.50 is: 8,075,330,600.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705,326,582.94 : 3,710,940,034.50 = 3,710,940,034.50 : x
  2. Step 2: Convert to fraction form
    1,705,326,582.94/3,710,940,034.50 = 3,710,940,034.50/x
  3. Step 3: Cross multiply
    1,705,326,582.94x = 3,710,940,034.50 × 3,710,940,034.50
  4. Step 4: Simplify right side
    1,705,326,582.94x = 13,771,075,939,654,860,800
  5. Step 5: Solve for x
    x = 13,771,075,939,654,860,800/1,705,326,582.94
  6. Step 6: Final answer
    x = 8,075,330,600.86

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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.