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Finding the Third Proportional to 738,662,095.13 and 1,152,712,918.69

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Solution

The third proportional to 738,662,095.13 and 1,152,712,918.69 is: 1,798,856,448.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,662,095.13 : 1,152,712,918.69 = 1,152,712,918.69 : x
  2. Step 2: Convert to fraction form
    738,662,095.13/1,152,712,918.69 = 1,152,712,918.69/x
  3. Step 3: Cross multiply
    738,662,095.13x = 1,152,712,918.69 × 1,152,712,918.69
  4. Step 4: Simplify right side
    738,662,095.13x = 1,328,747,072,909,054,976
  5. Step 5: Solve for x
    x = 1,328,747,072,909,054,976/738,662,095.13
  6. Step 6: Final answer
    x = 1,798,856,448.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.