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Finding the Third Proportional to 32,323,181,598 and 75,521,537,004

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Solution

The third proportional to 32,323,181,598 and 75,521,537,004 is: 176,452,387,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,323,181,598 : 75,521,537,004 = 75,521,537,004 : x
  2. Step 2: Convert to fraction form
    32,323,181,598/75,521,537,004 = 75,521,537,004/x
  3. Step 3: Cross multiply
    32,323,181,598x = 75,521,537,004 × 75,521,537,004
  4. Step 4: Simplify right side
    32,323,181,598x = 5,703,502,551,446,541,303,808
  5. Step 5: Solve for x
    x = 5,703,502,551,446,541,303,808/32,323,181,598
  6. Step 6: Final answer
    x = 176,452,387,094.20

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.