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Finding the Third Proportional to 14,925,718,160 and 32,663,127,328

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Solution

The third proportional to 14,925,718,160 and 32,663,127,328 is: 71,479,300,051.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,925,718,160 : 32,663,127,328 = 32,663,127,328 : x
  2. Step 2: Convert to fraction form
    14,925,718,160/32,663,127,328 = 32,663,127,328/x
  3. Step 3: Cross multiply
    14,925,718,160x = 32,663,127,328 × 32,663,127,328
  4. Step 4: Simplify right side
    14,925,718,160x = 1,066,879,886,845,140,402,176
  5. Step 5: Solve for x
    x = 1,066,879,886,845,140,402,176/14,925,718,160
  6. Step 6: Final answer
    x = 71,479,300,051.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.