Finding the Third Proportional to 420,074,235,011.25 and 903,860,484,657.75
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Solution
The third proportional to 420,074,235,011.25 and 903,860,484,657.75 is: 1,944,808,102,081.92
Step by Step Solution
- Step 1: Write the proportion equation
420,074,235,011.25 : 903,860,484,657.75 = 903,860,484,657.75 : x - Step 2: Convert to fraction form
420,074,235,011.25/903,860,484,657.75 = 903,860,484,657.75/x - Step 3: Cross multiply
420,074,235,011.25x = 903,860,484,657.75 × 903,860,484,657.75 - Step 4: Simplify right side
420,074,235,011.25x = 816,963,775,725,742,768,259,072 - Step 5: Solve for x
x = 816,963,775,725,742,768,259,072/420,074,235,011.25 - Step 6: Final answer
x = 1,944,808,102,081.92
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.